-9(v+2)+3v+7=8v+11

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Solution for -9(v+2)+3v+7=8v+11 equation: 


Simplifying
-9(v + 2) + 3v + 7 = 8v + 11

Reorder the terms:
-9(2 + v) + 3v + 7 = 8v + 11
(2 * -9 + v * -9) + 3v + 7 = 8v + 11
(-18 + -9v) + 3v + 7 = 8v + 11

Reorder the terms:
-18 + 7 + -9v + 3v = 8v + 11

Combine like terms: -18 + 7 = -11
-11 + -9v + 3v = 8v + 11

Combine like terms: -9v + 3v = -6v
-11 + -6v = 8v + 11

Reorder the terms:
-11 + -6v = 11 + 8v

Solving
-11 + -6v = 11 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
-11 + -6v + -8v = 11 + 8v + -8v

Combine like terms: -6v + -8v = -14v
-11 + -14v = 11 + 8v + -8v

Combine like terms: 8v + -8v = 0
-11 + -14v = 11 + 0
-11 + -14v = 11

Add '11' to each side of the equation.
-11 + 11 + -14v = 11 + 11

Combine like terms: -11 + 11 = 0
0 + -14v = 11 + 11
-14v = 11 + 11

Combine like terms: 11 + 11 = 22
-14v = 22

Divide each side by '-14'.
v = -1.571428571

Simplifying
v = -1.571428571

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