-7.5(9v+3)=29.5-3.5v

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Solution for -7.5(9v+3)=29.5-3.5v equation: 


Simplifying
-7.5(9v + 3) = 29.5 + -3.5v

Reorder the terms:
-7.5(3 + 9v) = 29.5 + -3.5v
(3 * -7.5 + 9v * -7.5) = 29.5 + -3.5v
(-22.5 + -67.5v) = 29.5 + -3.5v

Solving
-22.5 + -67.5v = 29.5 + -3.5v

Solving for variable 'v'.

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

Add '3.5v' to each side of the equation.
-22.5 + -67.5v + 3.5v = 29.5 + -3.5v + 3.5v

Combine like terms: -67.5v + 3.5v = -64v
-22.5 + -64v = 29.5 + -3.5v + 3.5v

Combine like terms: -3.5v + 3.5v = 0.0
-22.5 + -64v = 29.5 + 0.0
-22.5 + -64v = 29.5

Add '22.5' to each side of the equation.
-22.5 + 22.5 + -64v = 29.5 + 22.5

Combine like terms: -22.5 + 22.5 = 0.0
0.0 + -64v = 29.5 + 22.5
-64v = 29.5 + 22.5

Combine like terms: 29.5 + 22.5 = 52
-64v = 52

Divide each side by '-64'.
v = -0.8125

Simplifying
v = -0.8125

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