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

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


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

Reorder the terms:
7(2 + v) = -4(3v + -2) + 5v
(2 * 7 + v * 7) = -4(3v + -2) + 5v
(14 + 7v) = -4(3v + -2) + 5v

Reorder the terms:
14 + 7v = -4(-2 + 3v) + 5v
14 + 7v = (-2 * -4 + 3v * -4) + 5v
14 + 7v = (8 + -12v) + 5v

Combine like terms: -12v + 5v = -7v
14 + 7v = 8 + -7v

Solving
14 + 7v = 8 + -7v

Solving for variable 'v'.

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

Add '7v' to each side of the equation.
14 + 7v + 7v = 8 + -7v + 7v

Combine like terms: 7v + 7v = 14v
14 + 14v = 8 + -7v + 7v

Combine like terms: -7v + 7v = 0
14 + 14v = 8 + 0
14 + 14v = 8

Add '-14' to each side of the equation.
14 + -14 + 14v = 8 + -14

Combine like terms: 14 + -14 = 0
0 + 14v = 8 + -14
14v = 8 + -14

Combine like terms: 8 + -14 = -6
14v = -6

Divide each side by '14'.
v = -0.4285714286

Simplifying
v = -0.4285714286

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