-6(-g+15)=12g+6(g-13)

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Solution for -6(-g+15)=12g+6(g-13) equation:


Simplifying
-6(-1g + 15) = 12g + 6(g + -13)

Reorder the terms:
-6(15 + -1g) = 12g + 6(g + -13)
(15 * -6 + -1g * -6) = 12g + 6(g + -13)
(-90 + 6g) = 12g + 6(g + -13)

Reorder the terms:
-90 + 6g = 12g + 6(-13 + g)
-90 + 6g = 12g + (-13 * 6 + g * 6)
-90 + 6g = 12g + (-78 + 6g)

Reorder the terms:
-90 + 6g = -78 + 12g + 6g

Combine like terms: 12g + 6g = 18g
-90 + 6g = -78 + 18g

Solving
-90 + 6g = -78 + 18g

Solving for variable 'g'.

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

Add '-18g' to each side of the equation.
-90 + 6g + -18g = -78 + 18g + -18g

Combine like terms: 6g + -18g = -12g
-90 + -12g = -78 + 18g + -18g

Combine like terms: 18g + -18g = 0
-90 + -12g = -78 + 0
-90 + -12g = -78

Add '90' to each side of the equation.
-90 + 90 + -12g = -78 + 90

Combine like terms: -90 + 90 = 0
0 + -12g = -78 + 90
-12g = -78 + 90

Combine like terms: -78 + 90 = 12
-12g = 12

Divide each side by '-12'.
g = -1

Simplifying
g = -1

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