-9(v-6)=7v+22

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Solution for -9(v-6)=7v+22 equation: 


Simplifying
-9(v + -6) = 7v + 22

Reorder the terms:
-9(-6 + v) = 7v + 22
(-6 * -9 + v * -9) = 7v + 22
(54 + -9v) = 7v + 22

Reorder the terms:
54 + -9v = 22 + 7v

Solving
54 + -9v = 22 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
54 + -9v + -7v = 22 + 7v + -7v

Combine like terms: -9v + -7v = -16v
54 + -16v = 22 + 7v + -7v

Combine like terms: 7v + -7v = 0
54 + -16v = 22 + 0
54 + -16v = 22

Add '-54' to each side of the equation.
54 + -54 + -16v = 22 + -54

Combine like terms: 54 + -54 = 0
0 + -16v = 22 + -54
-16v = 22 + -54

Combine like terms: 22 + -54 = -32
-16v = -32

Divide each side by '-16'.
v = 2

Simplifying
v = 2

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