5(g+6)+2(-4g-1)-12=-3(2g+7)-11

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Solution for 5(g+6)+2(-4g-1)-12=-3(2g+7)-11 equation: 


Simplifying
5(g + 6) + 2(-4g + -1) + -12 = -3(2g + 7) + -11

Reorder the terms:
5(6 + g) + 2(-4g + -1) + -12 = -3(2g + 7) + -11
(6 * 5 + g * 5) + 2(-4g + -1) + -12 = -3(2g + 7) + -11
(30 + 5g) + 2(-4g + -1) + -12 = -3(2g + 7) + -11

Reorder the terms:
30 + 5g + 2(-1 + -4g) + -12 = -3(2g + 7) + -11
30 + 5g + (-1 * 2 + -4g * 2) + -12 = -3(2g + 7) + -11
30 + 5g + (-2 + -8g) + -12 = -3(2g + 7) + -11

Reorder the terms:
30 + -2 + -12 + 5g + -8g = -3(2g + 7) + -11

Combine like terms: 30 + -2 = 28
28 + -12 + 5g + -8g = -3(2g + 7) + -11

Combine like terms: 28 + -12 = 16
16 + 5g + -8g = -3(2g + 7) + -11

Combine like terms: 5g + -8g = -3g
16 + -3g = -3(2g + 7) + -11

Reorder the terms:
16 + -3g = -3(7 + 2g) + -11
16 + -3g = (7 * -3 + 2g * -3) + -11
16 + -3g = (-21 + -6g) + -11

Reorder the terms:
16 + -3g = -21 + -11 + -6g

Combine like terms: -21 + -11 = -32
16 + -3g = -32 + -6g

Solving
16 + -3g = -32 + -6g

Solving for variable 'g'.

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

Add '6g' to each side of the equation.
16 + -3g + 6g = -32 + -6g + 6g

Combine like terms: -3g + 6g = 3g
16 + 3g = -32 + -6g + 6g

Combine like terms: -6g + 6g = 0
16 + 3g = -32 + 0
16 + 3g = -32

Add '-16' to each side of the equation.
16 + -16 + 3g = -32 + -16

Combine like terms: 16 + -16 = 0
0 + 3g = -32 + -16
3g = -32 + -16

Combine like terms: -32 + -16 = -48
3g = -48

Divide each side by '3'.
g = -16

Simplifying
g = -16

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