2(3g+7)=-4(3-2g)

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Solution for 2(3g+7)=-4(3-2g) equation:


Simplifying
2(3g + 7) = -4(3 + -2g)

Reorder the terms:
2(7 + 3g) = -4(3 + -2g)
(7 * 2 + 3g * 2) = -4(3 + -2g)
(14 + 6g) = -4(3 + -2g)
14 + 6g = (3 * -4 + -2g * -4)
14 + 6g = (-12 + 8g)

Solving
14 + 6g = -12 + 8g

Solving for variable 'g'.

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

Add '-8g' to each side of the equation.
14 + 6g + -8g = -12 + 8g + -8g

Combine like terms: 6g + -8g = -2g
14 + -2g = -12 + 8g + -8g

Combine like terms: 8g + -8g = 0
14 + -2g = -12 + 0
14 + -2g = -12

Add '-14' to each side of the equation.
14 + -14 + -2g = -12 + -14

Combine like terms: 14 + -14 = 0
0 + -2g = -12 + -14
-2g = -12 + -14

Combine like terms: -12 + -14 = -26
-2g = -26

Divide each side by '-2'.
g = 13

Simplifying
g = 13

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