5(v+3)=-2(7v-5)+4v

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Solution for 5(v+3)=-2(7v-5)+4v equation:


Simplifying
5(v + 3) = -2(7v + -5) + 4v

Reorder the terms:
5(3 + v) = -2(7v + -5) + 4v
(3 * 5 + v * 5) = -2(7v + -5) + 4v
(15 + 5v) = -2(7v + -5) + 4v

Reorder the terms:
15 + 5v = -2(-5 + 7v) + 4v
15 + 5v = (-5 * -2 + 7v * -2) + 4v
15 + 5v = (10 + -14v) + 4v

Combine like terms: -14v + 4v = -10v
15 + 5v = 10 + -10v

Solving
15 + 5v = 10 + -10v

Solving for variable 'v'.

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

Add '10v' to each side of the equation.
15 + 5v + 10v = 10 + -10v + 10v

Combine like terms: 5v + 10v = 15v
15 + 15v = 10 + -10v + 10v

Combine like terms: -10v + 10v = 0
15 + 15v = 10 + 0
15 + 15v = 10

Add '-15' to each side of the equation.
15 + -15 + 15v = 10 + -15

Combine like terms: 15 + -15 = 0
0 + 15v = 10 + -15
15v = 10 + -15

Combine like terms: 10 + -15 = -5
15v = -5

Divide each side by '15'.
v = -0.3333333333

Simplifying
v = -0.3333333333

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