9(v-6)=3(v-8)

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Solution for 9(v-6)=3(v-8) equation: 


Simplifying
9(v + -6) = 3(v + -8)

Reorder the terms:
9(-6 + v) = 3(v + -8)
(-6 * 9 + v * 9) = 3(v + -8)
(-54 + 9v) = 3(v + -8)

Reorder the terms:
-54 + 9v = 3(-8 + v)
-54 + 9v = (-8 * 3 + v * 3)
-54 + 9v = (-24 + 3v)

Solving
-54 + 9v = -24 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
-54 + 9v + -3v = -24 + 3v + -3v

Combine like terms: 9v + -3v = 6v
-54 + 6v = -24 + 3v + -3v

Combine like terms: 3v + -3v = 0
-54 + 6v = -24 + 0
-54 + 6v = -24

Add '54' to each side of the equation.
-54 + 54 + 6v = -24 + 54

Combine like terms: -54 + 54 = 0
0 + 6v = -24 + 54
6v = -24 + 54

Combine like terms: -24 + 54 = 30
6v = 30

Divide each side by '6'.
v = 5

Simplifying
v = 5

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