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

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


Simplifying
2g + 4(4 + g) = 2g + -4(6 + -3g)
2g + (4 * 4 + g * 4) = 2g + -4(6 + -3g)
2g + (16 + 4g) = 2g + -4(6 + -3g)

Reorder the terms:
16 + 2g + 4g = 2g + -4(6 + -3g)

Combine like terms: 2g + 4g = 6g
16 + 6g = 2g + -4(6 + -3g)
16 + 6g = 2g + (6 * -4 + -3g * -4)
16 + 6g = 2g + (-24 + 12g)

Reorder the terms:
16 + 6g = -24 + 2g + 12g

Combine like terms: 2g + 12g = 14g
16 + 6g = -24 + 14g

Solving
16 + 6g = -24 + 14g

Solving for variable 'g'.

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

Add '-14g' to each side of the equation.
16 + 6g + -14g = -24 + 14g + -14g

Combine like terms: 6g + -14g = -8g
16 + -8g = -24 + 14g + -14g

Combine like terms: 14g + -14g = 0
16 + -8g = -24 + 0
16 + -8g = -24

Add '-16' to each side of the equation.
16 + -16 + -8g = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -8g = -24 + -16
-8g = -24 + -16

Combine like terms: -24 + -16 = -40
-8g = -40

Divide each side by '-8'.
g = 5

Simplifying
g = 5

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