1a+2b+3c-4d-5e-6f+7g=98

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Solution for 1a+2b+3c-4d-5e-6f+7g=98 equation:


Simplifying
1a + 2b + 3c + -4d + -5e + -6f + 7g = 98

Solving
1a + 2b + 3c + -4d + -5e + -6f + 7g = 98

Solving for variable 'a'.

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

Add '-2b' to each side of the equation.
1a + 2b + 3c + -4d + -5e + -6f + -2b + 7g = 98 + -2b

Reorder the terms:
1a + 2b + -2b + 3c + -4d + -5e + -6f + 7g = 98 + -2b

Combine like terms: 2b + -2b = 0
1a + 0 + 3c + -4d + -5e + -6f + 7g = 98 + -2b
1a + 3c + -4d + -5e + -6f + 7g = 98 + -2b

Add '-3c' to each side of the equation.
1a + 3c + -4d + -5e + -6f + -3c + 7g = 98 + -2b + -3c

Reorder the terms:
1a + 3c + -3c + -4d + -5e + -6f + 7g = 98 + -2b + -3c

Combine like terms: 3c + -3c = 0
1a + 0 + -4d + -5e + -6f + 7g = 98 + -2b + -3c
1a + -4d + -5e + -6f + 7g = 98 + -2b + -3c

Add '4d' to each side of the equation.
1a + -4d + -5e + -6f + 4d + 7g = 98 + -2b + -3c + 4d

Reorder the terms:
1a + -4d + 4d + -5e + -6f + 7g = 98 + -2b + -3c + 4d

Combine like terms: -4d + 4d = 0
1a + 0 + -5e + -6f + 7g = 98 + -2b + -3c + 4d
1a + -5e + -6f + 7g = 98 + -2b + -3c + 4d

Add '5e' to each side of the equation.
1a + -5e + -6f + 5e + 7g = 98 + -2b + -3c + 4d + 5e

Reorder the terms:
1a + -5e + 5e + -6f + 7g = 98 + -2b + -3c + 4d + 5e

Combine like terms: -5e + 5e = 0
1a + 0 + -6f + 7g = 98 + -2b + -3c + 4d + 5e
1a + -6f + 7g = 98 + -2b + -3c + 4d + 5e

Add '6f' to each side of the equation.
1a + -6f + 6f + 7g = 98 + -2b + -3c + 4d + 5e + 6f

Combine like terms: -6f + 6f = 0
1a + 0 + 7g = 98 + -2b + -3c + 4d + 5e + 6f
1a + 7g = 98 + -2b + -3c + 4d + 5e + 6f

Add '-7g' to each side of the equation.
1a + 7g + -7g = 98 + -2b + -3c + 4d + 5e + 6f + -7g

Combine like terms: 7g + -7g = 0
1a + 0 = 98 + -2b + -3c + 4d + 5e + 6f + -7g
1a = 98 + -2b + -3c + 4d + 5e + 6f + -7g

Divide each side by '1'.
a = 98 + -2b + -3c + 4d + 5e + 6f + -7g

Simplifying
a = 98 + -2b + -3c + 4d + 5e + 6f + -7g

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