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

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


Simplifying
4g + 3(g + -2) = -5(g + -4) + -1g

Reorder the terms:
4g + 3(-2 + g) = -5(g + -4) + -1g
4g + (-2 * 3 + g * 3) = -5(g + -4) + -1g
4g + (-6 + 3g) = -5(g + -4) + -1g

Reorder the terms:
-6 + 4g + 3g = -5(g + -4) + -1g

Combine like terms: 4g + 3g = 7g
-6 + 7g = -5(g + -4) + -1g

Reorder the terms:
-6 + 7g = -5(-4 + g) + -1g
-6 + 7g = (-4 * -5 + g * -5) + -1g
-6 + 7g = (20 + -5g) + -1g

Combine like terms: -5g + -1g = -6g
-6 + 7g = 20 + -6g

Solving
-6 + 7g = 20 + -6g

Solving for variable 'g'.

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

Add '6g' to each side of the equation.
-6 + 7g + 6g = 20 + -6g + 6g

Combine like terms: 7g + 6g = 13g
-6 + 13g = 20 + -6g + 6g

Combine like terms: -6g + 6g = 0
-6 + 13g = 20 + 0
-6 + 13g = 20

Add '6' to each side of the equation.
-6 + 6 + 13g = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 13g = 20 + 6
13g = 20 + 6

Combine like terms: 20 + 6 = 26
13g = 26

Divide each side by '13'.
g = 2

Simplifying
g = 2

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