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

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


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

Reorder the terms:
4g + 4(-2 + g) = -5(g + -4) + -1g
4g + (-2 * 4 + g * 4) = -5(g + -4) + -1g
4g + (-8 + 4g) = -5(g + -4) + -1g

Reorder the terms:
-8 + 4g + 4g = -5(g + -4) + -1g

Combine like terms: 4g + 4g = 8g
-8 + 8g = -5(g + -4) + -1g

Reorder the terms:
-8 + 8g = -5(-4 + g) + -1g
-8 + 8g = (-4 * -5 + g * -5) + -1g
-8 + 8g = (20 + -5g) + -1g

Combine like terms: -5g + -1g = -6g
-8 + 8g = 20 + -6g

Solving
-8 + 8g = 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.
-8 + 8g + 6g = 20 + -6g + 6g

Combine like terms: 8g + 6g = 14g
-8 + 14g = 20 + -6g + 6g

Combine like terms: -6g + 6g = 0
-8 + 14g = 20 + 0
-8 + 14g = 20

Add '8' to each side of the equation.
-8 + 8 + 14g = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 14g = 20 + 8
14g = 20 + 8

Combine like terms: 20 + 8 = 28
14g = 28

Divide each side by '14'.
g = 2

Simplifying
g = 2

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