6(v-6)=9v-33

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


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

Reorder the terms:
6(-6 + v) = 9v + -33
(-6 * 6 + v * 6) = 9v + -33
(-36 + 6v) = 9v + -33

Reorder the terms:
-36 + 6v = -33 + 9v

Solving
-36 + 6v = -33 + 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.
-36 + 6v + -9v = -33 + 9v + -9v

Combine like terms: 6v + -9v = -3v
-36 + -3v = -33 + 9v + -9v

Combine like terms: 9v + -9v = 0
-36 + -3v = -33 + 0
-36 + -3v = -33

Add '36' to each side of the equation.
-36 + 36 + -3v = -33 + 36

Combine like terms: -36 + 36 = 0
0 + -3v = -33 + 36
-3v = -33 + 36

Combine like terms: -33 + 36 = 3
-3v = 3

Divide each side by '-3'.
v = -1

Simplifying
v = -1

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