2(v-9)=6v-42

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Solution for 2(v-9)=6v-42 equation: 


Simplifying
2(v + -9) = 6v + -42

Reorder the terms:
2(-9 + v) = 6v + -42
(-9 * 2 + v * 2) = 6v + -42
(-18 + 2v) = 6v + -42

Reorder the terms:
-18 + 2v = -42 + 6v

Solving
-18 + 2v = -42 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
-18 + 2v + -6v = -42 + 6v + -6v

Combine like terms: 2v + -6v = -4v
-18 + -4v = -42 + 6v + -6v

Combine like terms: 6v + -6v = 0
-18 + -4v = -42 + 0
-18 + -4v = -42

Add '18' to each side of the equation.
-18 + 18 + -4v = -42 + 18

Combine like terms: -18 + 18 = 0
0 + -4v = -42 + 18
-4v = -42 + 18

Combine like terms: -42 + 18 = -24
-4v = -24

Divide each side by '-4'.
v = 6

Simplifying
v = 6

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