-6(v+3)+2v+7=5v+7

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Solution for -6(v+3)+2v+7=5v+7 equation:


Simplifying
-6(v + 3) + 2v + 7 = 5v + 7

Reorder the terms:
-6(3 + v) + 2v + 7 = 5v + 7
(3 * -6 + v * -6) + 2v + 7 = 5v + 7
(-18 + -6v) + 2v + 7 = 5v + 7

Reorder the terms:
-18 + 7 + -6v + 2v = 5v + 7

Combine like terms: -18 + 7 = -11
-11 + -6v + 2v = 5v + 7

Combine like terms: -6v + 2v = -4v
-11 + -4v = 5v + 7

Reorder the terms:
-11 + -4v = 7 + 5v

Solving
-11 + -4v = 7 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
-11 + -4v + -5v = 7 + 5v + -5v

Combine like terms: -4v + -5v = -9v
-11 + -9v = 7 + 5v + -5v

Combine like terms: 5v + -5v = 0
-11 + -9v = 7 + 0
-11 + -9v = 7

Add '11' to each side of the equation.
-11 + 11 + -9v = 7 + 11

Combine like terms: -11 + 11 = 0
0 + -9v = 7 + 11
-9v = 7 + 11

Combine like terms: 7 + 11 = 18
-9v = 18

Divide each side by '-9'.
v = -2

Simplifying
v = -2

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