4(v-2)-9=-5(-5v+3)-9v

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Solution for 4(v-2)-9=-5(-5v+3)-9v equation:


Simplifying
4(v + -2) + -9 = -5(-5v + 3) + -9v

Reorder the terms:
4(-2 + v) + -9 = -5(-5v + 3) + -9v
(-2 * 4 + v * 4) + -9 = -5(-5v + 3) + -9v
(-8 + 4v) + -9 = -5(-5v + 3) + -9v

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

Combine like terms: -8 + -9 = -17
-17 + 4v = -5(-5v + 3) + -9v

Reorder the terms:
-17 + 4v = -5(3 + -5v) + -9v
-17 + 4v = (3 * -5 + -5v * -5) + -9v
-17 + 4v = (-15 + 25v) + -9v

Combine like terms: 25v + -9v = 16v
-17 + 4v = -15 + 16v

Solving
-17 + 4v = -15 + 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.
-17 + 4v + -16v = -15 + 16v + -16v

Combine like terms: 4v + -16v = -12v
-17 + -12v = -15 + 16v + -16v

Combine like terms: 16v + -16v = 0
-17 + -12v = -15 + 0
-17 + -12v = -15

Add '17' to each side of the equation.
-17 + 17 + -12v = -15 + 17

Combine like terms: -17 + 17 = 0
0 + -12v = -15 + 17
-12v = -15 + 17

Combine like terms: -15 + 17 = 2
-12v = 2

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

Simplifying
v = -0.1666666667

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