3(0.3-4.5v)=-32.1-7.5v

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Solution for 3(0.3-4.5v)=-32.1-7.5v equation: 


Simplifying
3(0.3 + -4.5v) = -32.1 + -7.5v
(0.3 * 3 + -4.5v * 3) = -32.1 + -7.5v
(0.9 + -13.5v) = -32.1 + -7.5v

Solving
0.9 + -13.5v = -32.1 + -7.5v

Solving for variable 'v'.

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

Add '7.5v' to each side of the equation.
0.9 + -13.5v + 7.5v = -32.1 + -7.5v + 7.5v

Combine like terms: -13.5v + 7.5v = -6v
0.9 + -6v = -32.1 + -7.5v + 7.5v

Combine like terms: -7.5v + 7.5v = 0.0
0.9 + -6v = -32.1 + 0.0
0.9 + -6v = -32.1

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -6v = -32.1 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -6v = -32.1 + -0.9
-6v = -32.1 + -0.9

Combine like terms: -32.1 + -0.9 = -33
-6v = -33

Divide each side by '-6'.
v = 5.5

Simplifying
v = 5.5

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