a+2b+3c+4d+5e+6f+7g=53

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Solution for a+2b+3c+4d+5e+6f+7g=53 equation: 


Simplifying
a + 2b + 3c + 4d + 5e + 6f + 7g = 53

Solving
a + 2b + 3c + 4d + 5e + 6f + 7g = 53

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.
a + 2b + 3c + 4d + 5e + 6f + -2b + 7g = 53 + -2b

Reorder the terms:
a + 2b + -2b + 3c + 4d + 5e + 6f + 7g = 53 + -2b

Combine like terms: 2b + -2b = 0
a + 0 + 3c + 4d + 5e + 6f + 7g = 53 + -2b
a + 3c + 4d + 5e + 6f + 7g = 53 + -2b

Add '-3c' to each side of the equation.
a + 3c + 4d + 5e + 6f + -3c + 7g = 53 + -2b + -3c

Reorder the terms:
a + 3c + -3c + 4d + 5e + 6f + 7g = 53 + -2b + -3c

Combine like terms: 3c + -3c = 0
a + 0 + 4d + 5e + 6f + 7g = 53 + -2b + -3c
a + 4d + 5e + 6f + 7g = 53 + -2b + -3c

Add '-4d' to each side of the equation.
a + 4d + 5e + 6f + -4d + 7g = 53 + -2b + -3c + -4d

Reorder the terms:
a + 4d + -4d + 5e + 6f + 7g = 53 + -2b + -3c + -4d

Combine like terms: 4d + -4d = 0
a + 0 + 5e + 6f + 7g = 53 + -2b + -3c + -4d
a + 5e + 6f + 7g = 53 + -2b + -3c + -4d

Add '-5e' to each side of the equation.
a + 5e + 6f + -5e + 7g = 53 + -2b + -3c + -4d + -5e

Reorder the terms:
a + 5e + -5e + 6f + 7g = 53 + -2b + -3c + -4d + -5e

Combine like terms: 5e + -5e = 0
a + 0 + 6f + 7g = 53 + -2b + -3c + -4d + -5e
a + 6f + 7g = 53 + -2b + -3c + -4d + -5e

Add '-6f' to each side of the equation.
a + 6f + -6f + 7g = 53 + -2b + -3c + -4d + -5e + -6f

Combine like terms: 6f + -6f = 0
a + 0 + 7g = 53 + -2b + -3c + -4d + -5e + -6f
a + 7g = 53 + -2b + -3c + -4d + -5e + -6f

Add '-7g' to each side of the equation.
a + 7g + -7g = 53 + -2b + -3c + -4d + -5e + -6f + -7g

Combine like terms: 7g + -7g = 0
a + 0 = 53 + -2b + -3c + -4d + -5e + -6f + -7g
a = 53 + -2b + -3c + -4d + -5e + -6f + -7g

Simplifying
a = 53 + -2b + -3c + -4d + -5e + -6f + -7g

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