-9(v+4)+3v+5=8v+11

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Solution for -9(v+4)+3v+5=8v+11 equation: 


Simplifying
-9(v + 4) + 3v + 5 = 8v + 11

Reorder the terms:
-9(4 + v) + 3v + 5 = 8v + 11
(4 * -9 + v * -9) + 3v + 5 = 8v + 11
(-36 + -9v) + 3v + 5 = 8v + 11

Reorder the terms:
-36 + 5 + -9v + 3v = 8v + 11

Combine like terms: -36 + 5 = -31
-31 + -9v + 3v = 8v + 11

Combine like terms: -9v + 3v = -6v
-31 + -6v = 8v + 11

Reorder the terms:
-31 + -6v = 11 + 8v

Solving
-31 + -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.
-31 + -6v + -8v = 11 + 8v + -8v

Combine like terms: -6v + -8v = -14v
-31 + -14v = 11 + 8v + -8v

Combine like terms: 8v + -8v = 0
-31 + -14v = 11 + 0
-31 + -14v = 11

Add '31' to each side of the equation.
-31 + 31 + -14v = 11 + 31

Combine like terms: -31 + 31 = 0
0 + -14v = 11 + 31
-14v = 11 + 31

Combine like terms: 11 + 31 = 42
-14v = 42

Divide each side by '-14'.
v = -3

Simplifying
v = -3

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