10a+9b+8c+7d+6e+5f+4g+3h+2i+j=10z-9y-8x-7v

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Solution for 10a+9b+8c+7d+6e+5f+4g+3h+2i+j=10z-9y-8x-7v equation:


Simplifying
10a + 9b + 8c + 7d + 6e + 5f + 4g + 3h + 2i + j = 10z + -9y + -8x + -7v

Reorder the terms:
10a + 9b + 8c + 7d + 6e + 5f + 4g + 3h + 2i + j = -7v + -8x + -9y + 10z

Solving
10a + 9b + 8c + 7d + 6e + 5f + 4g + 3h + 2i + j = -7v + -8x + -9y + 10z

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9b' to each side of the equation.
10a + 9b + 8c + 7d + 6e + 5f + 4g + 3h + 2i + -9b + j = -7v + -8x + -9y + -9b + 10z

Reorder the terms:
10a + 9b + -9b + 8c + 7d + 6e + 5f + 4g + 3h + 2i + j = -7v + -8x + -9y + -9b + 10z

Combine like terms: 9b + -9b = 0
10a + 0 + 8c + 7d + 6e + 5f + 4g + 3h + 2i + j = -7v + -8x + -9y + -9b + 10z
10a + 8c + 7d + 6e + 5f + 4g + 3h + 2i + j = -7v + -8x + -9y + -9b + 10z

Reorder the terms:
10a + 8c + 7d + 6e + 5f + 4g + 3h + 2i + j = -9b + -7v + -8x + -9y + 10z

Add '-8c' to each side of the equation.
10a + 8c + 7d + 6e + 5f + 4g + 3h + 2i + -8c + j = -9b + -7v + -8x + -9y + -8c + 10z

Reorder the terms:
10a + 8c + -8c + 7d + 6e + 5f + 4g + 3h + 2i + j = -9b + -7v + -8x + -9y + -8c + 10z

Combine like terms: 8c + -8c = 0
10a + 0 + 7d + 6e + 5f + 4g + 3h + 2i + j = -9b + -7v + -8x + -9y + -8c + 10z
10a + 7d + 6e + 5f + 4g + 3h + 2i + j = -9b + -7v + -8x + -9y + -8c + 10z

Reorder the terms:
10a + 7d + 6e + 5f + 4g + 3h + 2i + j = -9b + -8c + -7v + -8x + -9y + 10z

Add '-7d' to each side of the equation.
10a + 7d + 6e + 5f + 4g + 3h + 2i + -7d + j = -9b + -8c + -7v + -8x + -9y + -7d + 10z

Reorder the terms:
10a + 7d + -7d + 6e + 5f + 4g + 3h + 2i + j = -9b + -8c + -7v + -8x + -9y + -7d + 10z

Combine like terms: 7d + -7d = 0
10a + 0 + 6e + 5f + 4g + 3h + 2i + j = -9b + -8c + -7v + -8x + -9y + -7d + 10z
10a + 6e + 5f + 4g + 3h + 2i + j = -9b + -8c + -7v + -8x + -9y + -7d + 10z

Reorder the terms:
10a + 6e + 5f + 4g + 3h + 2i + j = -9b + -8c + -7d + -7v + -8x + -9y + 10z

Add '-6e' to each side of the equation.
10a + 6e + 5f + 4g + 3h + 2i + -6e + j = -9b + -8c + -7d + -7v + -8x + -9y + -6e + 10z

Reorder the terms:
10a + 6e + -6e + 5f + 4g + 3h + 2i + j = -9b + -8c + -7d + -7v + -8x + -9y + -6e + 10z

Combine like terms: 6e + -6e = 0
10a + 0 + 5f + 4g + 3h + 2i + j = -9b + -8c + -7d + -7v + -8x + -9y + -6e + 10z
10a + 5f + 4g + 3h + 2i + j = -9b + -8c + -7d + -7v + -8x + -9y + -6e + 10z

Reorder the terms:
10a + 5f + 4g + 3h + 2i + j = -9b + -8c + -7d + -6e + -7v + -8x + -9y + 10z

Add '-5f' to each side of the equation.
10a + 5f + 4g + 3h + 2i + -5f + j = -9b + -8c + -7d + -6e + -7v + -8x + -9y + -5f + 10z

Reorder the terms:
10a + 5f + -5f + 4g + 3h + 2i + j = -9b + -8c + -7d + -6e + -7v + -8x + -9y + -5f + 10z

Combine like terms: 5f + -5f = 0
10a + 0 + 4g + 3h + 2i + j = -9b + -8c + -7d + -6e + -7v + -8x + -9y + -5f + 10z
10a + 4g + 3h + 2i + j = -9b + -8c + -7d + -6e + -7v + -8x + -9y + -5f + 10z

Reorder the terms:
10a + 4g + 3h + 2i + j = -9b + -8c + -7d + -6e + -5f + -7v + -8x + -9y + 10z

Add '-4g' to each side of the equation.
10a + 4g + 3h + 2i + -4g + j = -9b + -8c + -7d + -6e + -5f + -7v + -8x + -9y + -4g + 10z

Reorder the terms:
10a + 4g + -4g + 3h + 2i + j = -9b + -8c + -7d + -6e + -5f + -7v + -8x + -9y + -4g + 10z

Combine like terms: 4g + -4g = 0
10a + 0 + 3h + 2i + j = -9b + -8c + -7d + -6e + -5f + -7v + -8x + -9y + -4g + 10z
10a + 3h + 2i + j = -9b + -8c + -7d + -6e + -5f + -7v + -8x + -9y + -4g + 10z

Reorder the terms:
10a + 3h + 2i + j = -9b + -8c + -7d + -6e + -5f + -4g + -7v + -8x + -9y + 10z

Add '-3h' to each side of the equation.
10a + 3h + 2i + -3h + j = -9b + -8c + -7d + -6e + -5f + -4g + -7v + -8x + -9y + -3h + 10z

Reorder the terms:
10a + 3h + -3h + 2i + j = -9b + -8c + -7d + -6e + -5f + -4g + -7v + -8x + -9y + -3h + 10z

Combine like terms: 3h + -3h = 0
10a + 0 + 2i + j = -9b + -8c + -7d + -6e + -5f + -4g + -7v + -8x + -9y + -3h + 10z
10a + 2i + j = -9b + -8c + -7d + -6e + -5f + -4g + -7v + -8x + -9y + -3h + 10z

Reorder the terms:
10a + 2i + j = -9b + -8c + -7d + -6e + -5f + -4g + -3h + -7v + -8x + -9y + 10z

Add '-2i' to each side of the equation.
10a + 2i + -2i + j = -9b + -8c + -7d + -6e + -5f + -4g + -3h + -7v + -8x + -9y + -2i + 10z

Combine like terms: 2i + -2i = 0
10a + 0 + j = -9b + -8c + -7d + -6e + -5f + -4g + -3h + -7v + -8x + -9y + -2i + 10z
10a + j = -9b + -8c + -7d + -6e + -5f + -4g + -3h + -7v + -8x + -9y + -2i + 10z

Reorder the terms:
10a + j = -9b + -8c + -7d + -6e + -5f + -4g + -3h + -2i + -7v + -8x + -9y + 10z

Add '-1j' to each side of the equation.
10a + j + -1j = -9b + -8c + -7d + -6e + -5f + -4g + -3h + -2i + -7v + -8x + -9y + -1j + 10z

Combine like terms: j + -1j = 0
10a + 0 = -9b + -8c + -7d + -6e + -5f + -4g + -3h + -2i + -7v + -8x + -9y + -1j + 10z
10a = -9b + -8c + -7d + -6e + -5f + -4g + -3h + -2i + -7v + -8x + -9y + -1j + 10z

Reorder the terms:
10a = -9b + -8c + -7d + -6e + -5f + -4g + -3h + -2i + -1j + -7v + -8x + -9y + 10z

Divide each side by '10'.
a = -0.9b + -0.8c + -0.7d + -0.6e + -0.5f + -0.4g + -0.3h + -0.2i + -0.1j + -0.7v + -0.8x + -0.9y + z

Simplifying
a = -0.9b + -0.8c + -0.7d + -0.6e + -0.5f + -0.4g + -0.3h + -0.2i + -0.1j + -0.7v + -0.8x + -0.9y + z

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