-6(v+1)=3v-2+2(3v+7)

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Solution for -6(v+1)=3v-2+2(3v+7) equation:


Simplifying
-6(v + 1) = 3v + -2 + 2(3v + 7)

Reorder the terms:
-6(1 + v) = 3v + -2 + 2(3v + 7)
(1 * -6 + v * -6) = 3v + -2 + 2(3v + 7)
(-6 + -6v) = 3v + -2 + 2(3v + 7)

Reorder the terms:
-6 + -6v = 3v + -2 + 2(7 + 3v)
-6 + -6v = 3v + -2 + (7 * 2 + 3v * 2)
-6 + -6v = 3v + -2 + (14 + 6v)

Reorder the terms:
-6 + -6v = -2 + 14 + 3v + 6v

Combine like terms: -2 + 14 = 12
-6 + -6v = 12 + 3v + 6v

Combine like terms: 3v + 6v = 9v
-6 + -6v = 12 + 9v

Solving
-6 + -6v = 12 + 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.
-6 + -6v + -9v = 12 + 9v + -9v

Combine like terms: -6v + -9v = -15v
-6 + -15v = 12 + 9v + -9v

Combine like terms: 9v + -9v = 0
-6 + -15v = 12 + 0
-6 + -15v = 12

Add '6' to each side of the equation.
-6 + 6 + -15v = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -15v = 12 + 6
-15v = 12 + 6

Combine like terms: 12 + 6 = 18
-15v = 18

Divide each side by '-15'.
v = -1.2

Simplifying
v = -1.2

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