-9(v+4)+4v+7=7v+11

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Solution for -9(v+4)+4v+7=7v+11 equation:


Simplifying
-9(v + 4) + 4v + 7 = 7v + 11

Reorder the terms:
-9(4 + v) + 4v + 7 = 7v + 11
(4 * -9 + v * -9) + 4v + 7 = 7v + 11
(-36 + -9v) + 4v + 7 = 7v + 11

Reorder the terms:
-36 + 7 + -9v + 4v = 7v + 11

Combine like terms: -36 + 7 = -29
-29 + -9v + 4v = 7v + 11

Combine like terms: -9v + 4v = -5v
-29 + -5v = 7v + 11

Reorder the terms:
-29 + -5v = 11 + 7v

Solving
-29 + -5v = 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.
-29 + -5v + -7v = 11 + 7v + -7v

Combine like terms: -5v + -7v = -12v
-29 + -12v = 11 + 7v + -7v

Combine like terms: 7v + -7v = 0
-29 + -12v = 11 + 0
-29 + -12v = 11

Add '29' to each side of the equation.
-29 + 29 + -12v = 11 + 29

Combine like terms: -29 + 29 = 0
0 + -12v = 11 + 29
-12v = 11 + 29

Combine like terms: 11 + 29 = 40
-12v = 40

Divide each side by '-12'.
v = -3.333333333

Simplifying
v = -3.333333333

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