-9(v+3)+2v+7=5v+7

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Solution for -9(v+3)+2v+7=5v+7 equation:


Simplifying
-9(v + 3) + 2v + 7 = 5v + 7

Reorder the terms:
-9(3 + v) + 2v + 7 = 5v + 7
(3 * -9 + v * -9) + 2v + 7 = 5v + 7
(-27 + -9v) + 2v + 7 = 5v + 7

Reorder the terms:
-27 + 7 + -9v + 2v = 5v + 7

Combine like terms: -27 + 7 = -20
-20 + -9v + 2v = 5v + 7

Combine like terms: -9v + 2v = -7v
-20 + -7v = 5v + 7

Reorder the terms:
-20 + -7v = 7 + 5v

Solving
-20 + -7v = 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.
-20 + -7v + -5v = 7 + 5v + -5v

Combine like terms: -7v + -5v = -12v
-20 + -12v = 7 + 5v + -5v

Combine like terms: 5v + -5v = 0
-20 + -12v = 7 + 0
-20 + -12v = 7

Add '20' to each side of the equation.
-20 + 20 + -12v = 7 + 20

Combine like terms: -20 + 20 = 0
0 + -12v = 7 + 20
-12v = 7 + 20

Combine like terms: 7 + 20 = 27
-12v = 27

Divide each side by '-12'.
v = -2.25

Simplifying
v = -2.25

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