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

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


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

Reorder the terms:
7(4 + v) = -4(2v + -9) + 9v
(4 * 7 + v * 7) = -4(2v + -9) + 9v
(28 + 7v) = -4(2v + -9) + 9v

Reorder the terms:
28 + 7v = -4(-9 + 2v) + 9v
28 + 7v = (-9 * -4 + 2v * -4) + 9v
28 + 7v = (36 + -8v) + 9v

Combine like terms: -8v + 9v = 1v
28 + 7v = 36 + 1v

Solving
28 + 7v = 36 + 1v

Solving for variable 'v'.

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

Add '-1v' to each side of the equation.
28 + 7v + -1v = 36 + 1v + -1v

Combine like terms: 7v + -1v = 6v
28 + 6v = 36 + 1v + -1v

Combine like terms: 1v + -1v = 0
28 + 6v = 36 + 0
28 + 6v = 36

Add '-28' to each side of the equation.
28 + -28 + 6v = 36 + -28

Combine like terms: 28 + -28 = 0
0 + 6v = 36 + -28
6v = 36 + -28

Combine like terms: 36 + -28 = 8
6v = 8

Divide each side by '6'.
v = 1.333333333

Simplifying
v = 1.333333333

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