-4(g-8)+7(g-3)=32

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Solution for -4(g-8)+7(g-3)=32 equation: 


Simplifying
-4(g + -8) + 7(g + -3) = 32

Reorder the terms:
-4(-8 + g) + 7(g + -3) = 32
(-8 * -4 + g * -4) + 7(g + -3) = 32
(32 + -4g) + 7(g + -3) = 32

Reorder the terms:
32 + -4g + 7(-3 + g) = 32
32 + -4g + (-3 * 7 + g * 7) = 32
32 + -4g + (-21 + 7g) = 32

Reorder the terms:
32 + -21 + -4g + 7g = 32

Combine like terms: 32 + -21 = 11
11 + -4g + 7g = 32

Combine like terms: -4g + 7g = 3g
11 + 3g = 32

Solving
11 + 3g = 32

Solving for variable 'g'.

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

Add '-11' to each side of the equation.
11 + -11 + 3g = 32 + -11

Combine like terms: 11 + -11 = 0
0 + 3g = 32 + -11
3g = 32 + -11

Combine like terms: 32 + -11 = 21
3g = 21

Divide each side by '3'.
g = 7

Simplifying
g = 7

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