-6v+33=-9(v-6)

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Solution for -6v+33=-9(v-6) equation:


Simplifying
-6v + 33 = -9(v + -6)

Reorder the terms:
33 + -6v = -9(v + -6)

Reorder the terms:
33 + -6v = -9(-6 + v)
33 + -6v = (-6 * -9 + v * -9)
33 + -6v = (54 + -9v)

Solving
33 + -6v = 54 + -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.
33 + -6v + 9v = 54 + -9v + 9v

Combine like terms: -6v + 9v = 3v
33 + 3v = 54 + -9v + 9v

Combine like terms: -9v + 9v = 0
33 + 3v = 54 + 0
33 + 3v = 54

Add '-33' to each side of the equation.
33 + -33 + 3v = 54 + -33

Combine like terms: 33 + -33 = 0
0 + 3v = 54 + -33
3v = 54 + -33

Combine like terms: 54 + -33 = 21
3v = 21

Divide each side by '3'.
v = 7

Simplifying
v = 7

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