7(v+4)=-2(5v-8)+v

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Solution for 7(v+4)=-2(5v-8)+v equation:


Simplifying
7(v + 4) = -2(5v + -8) + v

Reorder the terms:
7(4 + v) = -2(5v + -8) + v
(4 * 7 + v * 7) = -2(5v + -8) + v
(28 + 7v) = -2(5v + -8) + v

Reorder the terms:
28 + 7v = -2(-8 + 5v) + v
28 + 7v = (-8 * -2 + 5v * -2) + v
28 + 7v = (16 + -10v) + v

Combine like terms: -10v + v = -9v
28 + 7v = 16 + -9v

Solving
28 + 7v = 16 + -9v

Solving for variable 'v'.

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

Add '9v' to each side of the equation.
28 + 7v + 9v = 16 + -9v + 9v

Combine like terms: 7v + 9v = 16v
28 + 16v = 16 + -9v + 9v

Combine like terms: -9v + 9v = 0
28 + 16v = 16 + 0
28 + 16v = 16

Add '-28' to each side of the equation.
28 + -28 + 16v = 16 + -28

Combine like terms: 28 + -28 = 0
0 + 16v = 16 + -28
16v = 16 + -28

Combine like terms: 16 + -28 = -12
16v = -12

Divide each side by '16'.
v = -0.75

Simplifying
v = -0.75

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