3(g+2)-2(g-4)=8-g

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Solution for 3(g+2)-2(g-4)=8-g equation:


Simplifying
3(g + 2) + -2(g + -4) = 8 + -1g

Reorder the terms:
3(2 + g) + -2(g + -4) = 8 + -1g
(2 * 3 + g * 3) + -2(g + -4) = 8 + -1g
(6 + 3g) + -2(g + -4) = 8 + -1g

Reorder the terms:
6 + 3g + -2(-4 + g) = 8 + -1g
6 + 3g + (-4 * -2 + g * -2) = 8 + -1g
6 + 3g + (8 + -2g) = 8 + -1g

Reorder the terms:
6 + 8 + 3g + -2g = 8 + -1g

Combine like terms: 6 + 8 = 14
14 + 3g + -2g = 8 + -1g

Combine like terms: 3g + -2g = 1g
14 + 1g = 8 + -1g

Solving
14 + 1g = 8 + -1g

Solving for variable 'g'.

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

Add 'g' to each side of the equation.
14 + 1g + g = 8 + -1g + g

Combine like terms: 1g + g = 2g
14 + 2g = 8 + -1g + g

Combine like terms: -1g + g = 0
14 + 2g = 8 + 0
14 + 2g = 8

Add '-14' to each side of the equation.
14 + -14 + 2g = 8 + -14

Combine like terms: 14 + -14 = 0
0 + 2g = 8 + -14
2g = 8 + -14

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

Divide each side by '2'.
g = -3

Simplifying
g = -3

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