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

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


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

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

Combine like terms: -12v + 9v = -3v
12 + -3v = 6(v + 4)

Reorder the terms:
12 + -3v = 6(4 + v)
12 + -3v = (4 * 6 + v * 6)
12 + -3v = (24 + 6v)

Solving
12 + -3v = 24 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
12 + -3v + -6v = 24 + 6v + -6v

Combine like terms: -3v + -6v = -9v
12 + -9v = 24 + 6v + -6v

Combine like terms: 6v + -6v = 0
12 + -9v = 24 + 0
12 + -9v = 24

Add '-12' to each side of the equation.
12 + -12 + -9v = 24 + -12

Combine like terms: 12 + -12 = 0
0 + -9v = 24 + -12
-9v = 24 + -12

Combine like terms: 24 + -12 = 12
-9v = 12

Divide each side by '-9'.
v = -1.333333333

Simplifying
v = -1.333333333

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