g(5-6g)=(7+3g)(2-2g)

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Solution for g(5-6g)=(7+3g)(2-2g) equation: 


Simplifying
g(5 + -6g) = (7 + 3g)(2 + -2g)
(5 * g + -6g * g) = (7 + 3g)(2 + -2g)
(5g + -6g2) = (7 + 3g)(2 + -2g)

Multiply (7 + 3g) * (2 + -2g)
5g + -6g2 = (7(2 + -2g) + 3g * (2 + -2g))
5g + -6g2 = ((2 * 7 + -2g * 7) + 3g * (2 + -2g))
5g + -6g2 = ((14 + -14g) + 3g * (2 + -2g))
5g + -6g2 = (14 + -14g + (2 * 3g + -2g * 3g))
5g + -6g2 = (14 + -14g + (6g + -6g2))

Combine like terms: -14g + 6g = -8g
5g + -6g2 = (14 + -8g + -6g2)

Add '6g2' to each side of the equation.
5g + -6g2 + 6g2 = 14 + -8g + -6g2 + 6g2

Combine like terms: -6g2 + 6g2 = 0
5g + 0 = 14 + -8g + -6g2 + 6g2
5g = 14 + -8g + -6g2 + 6g2

Combine like terms: -6g2 + 6g2 = 0
5g = 14 + -8g + 0
5g = 14 + -8g

Solving
5g = 14 + -8g

Solving for variable 'g'.

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

Add '8g' to each side of the equation.
5g + 8g = 14 + -8g + 8g

Combine like terms: 5g + 8g = 13g
13g = 14 + -8g + 8g

Combine like terms: -8g + 8g = 0
13g = 14 + 0
13g = 14

Divide each side by '13'.
g = 1.076923077

Simplifying
g = 1.076923077

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