3g+4=10-3(g-2)

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Solution for 3g+4=10-3(g-2) equation: 


Simplifying
3g + 4 = 10 + -3(g + -2)

Reorder the terms:
4 + 3g = 10 + -3(g + -2)

Reorder the terms:
4 + 3g = 10 + -3(-2 + g)
4 + 3g = 10 + (-2 * -3 + g * -3)
4 + 3g = 10 + (6 + -3g)

Combine like terms: 10 + 6 = 16
4 + 3g = 16 + -3g

Solving
4 + 3g = 16 + -3g

Solving for variable 'g'.

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

Add '3g' to each side of the equation.
4 + 3g + 3g = 16 + -3g + 3g

Combine like terms: 3g + 3g = 6g
4 + 6g = 16 + -3g + 3g

Combine like terms: -3g + 3g = 0
4 + 6g = 16 + 0
4 + 6g = 16

Add '-4' to each side of the equation.
4 + -4 + 6g = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 6g = 16 + -4
6g = 16 + -4

Combine like terms: 16 + -4 = 12
6g = 12

Divide each side by '6'.
g = 2

Simplifying
g = 2

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