5g+2(-6+2g)=2(1+g)

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Solution for 5g+2(-6+2g)=2(1+g) equation:


Simplifying
5g + 2(-6 + 2g) = 2(1 + g)
5g + (-6 * 2 + 2g * 2) = 2(1 + g)
5g + (-12 + 4g) = 2(1 + g)

Reorder the terms:
-12 + 5g + 4g = 2(1 + g)

Combine like terms: 5g + 4g = 9g
-12 + 9g = 2(1 + g)
-12 + 9g = (1 * 2 + g * 2)
-12 + 9g = (2 + 2g)

Solving
-12 + 9g = 2 + 2g

Solving for variable 'g'.

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

Add '-2g' to each side of the equation.
-12 + 9g + -2g = 2 + 2g + -2g

Combine like terms: 9g + -2g = 7g
-12 + 7g = 2 + 2g + -2g

Combine like terms: 2g + -2g = 0
-12 + 7g = 2 + 0
-12 + 7g = 2

Add '12' to each side of the equation.
-12 + 12 + 7g = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 7g = 2 + 12
7g = 2 + 12

Combine like terms: 2 + 12 = 14
7g = 14

Divide each side by '7'.
g = 2

Simplifying
g = 2

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