5(4g+6)=-2(-6g-3)

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Solution for 5(4g+6)=-2(-6g-3) equation:


Simplifying
5(4g + 6) = -2(-6g + -3)

Reorder the terms:
5(6 + 4g) = -2(-6g + -3)
(6 * 5 + 4g * 5) = -2(-6g + -3)
(30 + 20g) = -2(-6g + -3)

Reorder the terms:
30 + 20g = -2(-3 + -6g)
30 + 20g = (-3 * -2 + -6g * -2)
30 + 20g = (6 + 12g)

Solving
30 + 20g = 6 + 12g

Solving for variable 'g'.

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

Add '-12g' to each side of the equation.
30 + 20g + -12g = 6 + 12g + -12g

Combine like terms: 20g + -12g = 8g
30 + 8g = 6 + 12g + -12g

Combine like terms: 12g + -12g = 0
30 + 8g = 6 + 0
30 + 8g = 6

Add '-30' to each side of the equation.
30 + -30 + 8g = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 8g = 6 + -30
8g = 6 + -30

Combine like terms: 6 + -30 = -24
8g = -24

Divide each side by '8'.
g = -3

Simplifying
g = -3

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