4(v-8)=-5(-5v+6)-9v

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Solution for 4(v-8)=-5(-5v+6)-9v equation:


Simplifying
4(v + -8) = -5(-5v + 6) + -9v

Reorder the terms:
4(-8 + v) = -5(-5v + 6) + -9v
(-8 * 4 + v * 4) = -5(-5v + 6) + -9v
(-32 + 4v) = -5(-5v + 6) + -9v

Reorder the terms:
-32 + 4v = -5(6 + -5v) + -9v
-32 + 4v = (6 * -5 + -5v * -5) + -9v
-32 + 4v = (-30 + 25v) + -9v

Combine like terms: 25v + -9v = 16v
-32 + 4v = -30 + 16v

Solving
-32 + 4v = -30 + 16v

Solving for variable 'v'.

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

Add '-16v' to each side of the equation.
-32 + 4v + -16v = -30 + 16v + -16v

Combine like terms: 4v + -16v = -12v
-32 + -12v = -30 + 16v + -16v

Combine like terms: 16v + -16v = 0
-32 + -12v = -30 + 0
-32 + -12v = -30

Add '32' to each side of the equation.
-32 + 32 + -12v = -30 + 32

Combine like terms: -32 + 32 = 0
0 + -12v = -30 + 32
-12v = -30 + 32

Combine like terms: -30 + 32 = 2
-12v = 2

Divide each side by '-12'.
v = -0.1666666667

Simplifying
v = -0.1666666667

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