-3(4v-9)+7v=4(v+6)

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Solution for -3(4v-9)+7v=4(v+6) equation:


Simplifying
-3(4v + -9) + 7v = 4(v + 6)

Reorder the terms:
-3(-9 + 4v) + 7v = 4(v + 6)
(-9 * -3 + 4v * -3) + 7v = 4(v + 6)
(27 + -12v) + 7v = 4(v + 6)

Combine like terms: -12v + 7v = -5v
27 + -5v = 4(v + 6)

Reorder the terms:
27 + -5v = 4(6 + v)
27 + -5v = (6 * 4 + v * 4)
27 + -5v = (24 + 4v)

Solving
27 + -5v = 24 + 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.
27 + -5v + -4v = 24 + 4v + -4v

Combine like terms: -5v + -4v = -9v
27 + -9v = 24 + 4v + -4v

Combine like terms: 4v + -4v = 0
27 + -9v = 24 + 0
27 + -9v = 24

Add '-27' to each side of the equation.
27 + -27 + -9v = 24 + -27

Combine like terms: 27 + -27 = 0
0 + -9v = 24 + -27
-9v = 24 + -27

Combine like terms: 24 + -27 = -3
-9v = -3

Divide each side by '-9'.
v = 0.3333333333

Simplifying
v = 0.3333333333

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