5(v+7)=-4(5v-5)+7v

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Solution for 5(v+7)=-4(5v-5)+7v equation:


Simplifying
5(v + 7) = -4(5v + -5) + 7v

Reorder the terms:
5(7 + v) = -4(5v + -5) + 7v
(7 * 5 + v * 5) = -4(5v + -5) + 7v
(35 + 5v) = -4(5v + -5) + 7v

Reorder the terms:
35 + 5v = -4(-5 + 5v) + 7v
35 + 5v = (-5 * -4 + 5v * -4) + 7v
35 + 5v = (20 + -20v) + 7v

Combine like terms: -20v + 7v = -13v
35 + 5v = 20 + -13v

Solving
35 + 5v = 20 + -13v

Solving for variable 'v'.

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

Add '13v' to each side of the equation.
35 + 5v + 13v = 20 + -13v + 13v

Combine like terms: 5v + 13v = 18v
35 + 18v = 20 + -13v + 13v

Combine like terms: -13v + 13v = 0
35 + 18v = 20 + 0
35 + 18v = 20

Add '-35' to each side of the equation.
35 + -35 + 18v = 20 + -35

Combine like terms: 35 + -35 = 0
0 + 18v = 20 + -35
18v = 20 + -35

Combine like terms: 20 + -35 = -15
18v = -15

Divide each side by '18'.
v = -0.8333333333

Simplifying
v = -0.8333333333

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