-6(v-2)+3=9(-v+4)

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Solution for -6(v-2)+3=9(-v+4) equation: 


Simplifying
-6(v + -2) + 3 = 9(-1v + 4)

Reorder the terms:
-6(-2 + v) + 3 = 9(-1v + 4)
(-2 * -6 + v * -6) + 3 = 9(-1v + 4)
(12 + -6v) + 3 = 9(-1v + 4)

Reorder the terms:
12 + 3 + -6v = 9(-1v + 4)

Combine like terms: 12 + 3 = 15
15 + -6v = 9(-1v + 4)

Reorder the terms:
15 + -6v = 9(4 + -1v)
15 + -6v = (4 * 9 + -1v * 9)
15 + -6v = (36 + -9v)

Solving
15 + -6v = 36 + -9v

Solving for variable 'v'.

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

Add '9v' to each side of the equation.
15 + -6v + 9v = 36 + -9v + 9v

Combine like terms: -6v + 9v = 3v
15 + 3v = 36 + -9v + 9v

Combine like terms: -9v + 9v = 0
15 + 3v = 36 + 0
15 + 3v = 36

Add '-15' to each side of the equation.
15 + -15 + 3v = 36 + -15

Combine like terms: 15 + -15 = 0
0 + 3v = 36 + -15
3v = 36 + -15

Combine like terms: 36 + -15 = 21
3v = 21

Divide each side by '3'.
v = 7

Simplifying
v = 7

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