-4(v+2)+2v+6=7v+11

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Solution for -4(v+2)+2v+6=7v+11 equation: 


Simplifying
-4(v + 2) + 2v + 6 = 7v + 11

Reorder the terms:
-4(2 + v) + 2v + 6 = 7v + 11
(2 * -4 + v * -4) + 2v + 6 = 7v + 11
(-8 + -4v) + 2v + 6 = 7v + 11

Reorder the terms:
-8 + 6 + -4v + 2v = 7v + 11

Combine like terms: -8 + 6 = -2
-2 + -4v + 2v = 7v + 11

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

Reorder the terms:
-2 + -2v = 11 + 7v

Solving
-2 + -2v = 11 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
-2 + -2v + -7v = 11 + 7v + -7v

Combine like terms: -2v + -7v = -9v
-2 + -9v = 11 + 7v + -7v

Combine like terms: 7v + -7v = 0
-2 + -9v = 11 + 0
-2 + -9v = 11

Add '2' to each side of the equation.
-2 + 2 + -9v = 11 + 2

Combine like terms: -2 + 2 = 0
0 + -9v = 11 + 2
-9v = 11 + 2

Combine like terms: 11 + 2 = 13
-9v = 13

Divide each side by '-9'.
v = -1.444444444

Simplifying
v = -1.444444444

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