8(-5g+7)=2(-13g+10)

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Solution for 8(-5g+7)=2(-13g+10) equation:


Simplifying
8(-5g + 7) = 2(-13g + 10)

Reorder the terms:
8(7 + -5g) = 2(-13g + 10)
(7 * 8 + -5g * 8) = 2(-13g + 10)
(56 + -40g) = 2(-13g + 10)

Reorder the terms:
56 + -40g = 2(10 + -13g)
56 + -40g = (10 * 2 + -13g * 2)
56 + -40g = (20 + -26g)

Solving
56 + -40g = 20 + -26g

Solving for variable 'g'.

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

Add '26g' to each side of the equation.
56 + -40g + 26g = 20 + -26g + 26g

Combine like terms: -40g + 26g = -14g
56 + -14g = 20 + -26g + 26g

Combine like terms: -26g + 26g = 0
56 + -14g = 20 + 0
56 + -14g = 20

Add '-56' to each side of the equation.
56 + -56 + -14g = 20 + -56

Combine like terms: 56 + -56 = 0
0 + -14g = 20 + -56
-14g = 20 + -56

Combine like terms: 20 + -56 = -36
-14g = -36

Divide each side by '-14'.
g = 2.571428571

Simplifying
g = 2.571428571

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