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

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


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

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

Reorder the terms:
28 + 4v = -2(-5 + 8v) + 4v
28 + 4v = (-5 * -2 + 8v * -2) + 4v
28 + 4v = (10 + -16v) + 4v

Combine like terms: -16v + 4v = -12v
28 + 4v = 10 + -12v

Solving
28 + 4v = 10 + -12v

Solving for variable 'v'.

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

Add '12v' to each side of the equation.
28 + 4v + 12v = 10 + -12v + 12v

Combine like terms: 4v + 12v = 16v
28 + 16v = 10 + -12v + 12v

Combine like terms: -12v + 12v = 0
28 + 16v = 10 + 0
28 + 16v = 10

Add '-28' to each side of the equation.
28 + -28 + 16v = 10 + -28

Combine like terms: 28 + -28 = 0
0 + 16v = 10 + -28
16v = 10 + -28

Combine like terms: 10 + -28 = -18
16v = -18

Divide each side by '16'.
v = -1.125

Simplifying
v = -1.125

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