-5(v+2)+2v+7=6v+9

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Solution for -5(v+2)+2v+7=6v+9 equation: 


Simplifying
-5(v + 2) + 2v + 7 = 6v + 9

Reorder the terms:
-5(2 + v) + 2v + 7 = 6v + 9
(2 * -5 + v * -5) + 2v + 7 = 6v + 9
(-10 + -5v) + 2v + 7 = 6v + 9

Reorder the terms:
-10 + 7 + -5v + 2v = 6v + 9

Combine like terms: -10 + 7 = -3
-3 + -5v + 2v = 6v + 9

Combine like terms: -5v + 2v = -3v
-3 + -3v = 6v + 9

Reorder the terms:
-3 + -3v = 9 + 6v

Solving
-3 + -3v = 9 + 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.
-3 + -3v + -6v = 9 + 6v + -6v

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

Combine like terms: 6v + -6v = 0
-3 + -9v = 9 + 0
-3 + -9v = 9

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

Combine like terms: -3 + 3 = 0
0 + -9v = 9 + 3
-9v = 9 + 3

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

Divide each side by '-9'.
v = -1.333333333

Simplifying
v = -1.333333333

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