-4(4v-9)+2v=4(v+7)

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Solution for -4(4v-9)+2v=4(v+7) equation: 


Simplifying
-4(4v + -9) + 2v = 4(v + 7)

Reorder the terms:
-4(-9 + 4v) + 2v = 4(v + 7)
(-9 * -4 + 4v * -4) + 2v = 4(v + 7)
(36 + -16v) + 2v = 4(v + 7)

Combine like terms: -16v + 2v = -14v
36 + -14v = 4(v + 7)

Reorder the terms:
36 + -14v = 4(7 + v)
36 + -14v = (7 * 4 + v * 4)
36 + -14v = (28 + 4v)

Solving
36 + -14v = 28 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
36 + -14v + -4v = 28 + 4v + -4v

Combine like terms: -14v + -4v = -18v
36 + -18v = 28 + 4v + -4v

Combine like terms: 4v + -4v = 0
36 + -18v = 28 + 0
36 + -18v = 28

Add '-36' to each side of the equation.
36 + -36 + -18v = 28 + -36

Combine like terms: 36 + -36 = 0
0 + -18v = 28 + -36
-18v = 28 + -36

Combine like terms: 28 + -36 = -8
-18v = -8

Divide each side by '-18'.
v = 0.4444444444

Simplifying
v = 0.4444444444

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