3(g+6)-10=-2(g+7)+6

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Solution for 3(g+6)-10=-2(g+7)+6 equation:


Simplifying
3(g + 6) + -10 = -2(g + 7) + 6

Reorder the terms:
3(6 + g) + -10 = -2(g + 7) + 6
(6 * 3 + g * 3) + -10 = -2(g + 7) + 6
(18 + 3g) + -10 = -2(g + 7) + 6

Reorder the terms:
18 + -10 + 3g = -2(g + 7) + 6

Combine like terms: 18 + -10 = 8
8 + 3g = -2(g + 7) + 6

Reorder the terms:
8 + 3g = -2(7 + g) + 6
8 + 3g = (7 * -2 + g * -2) + 6
8 + 3g = (-14 + -2g) + 6

Reorder the terms:
8 + 3g = -14 + 6 + -2g

Combine like terms: -14 + 6 = -8
8 + 3g = -8 + -2g

Solving
8 + 3g = -8 + -2g

Solving for variable 'g'.

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

Add '2g' to each side of the equation.
8 + 3g + 2g = -8 + -2g + 2g

Combine like terms: 3g + 2g = 5g
8 + 5g = -8 + -2g + 2g

Combine like terms: -2g + 2g = 0
8 + 5g = -8 + 0
8 + 5g = -8

Add '-8' to each side of the equation.
8 + -8 + 5g = -8 + -8

Combine like terms: 8 + -8 = 0
0 + 5g = -8 + -8
5g = -8 + -8

Combine like terms: -8 + -8 = -16
5g = -16

Divide each side by '5'.
g = -3.2

Simplifying
g = -3.2

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