5v+6(-6v+20)=-16-20-18v

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Solution for 5v+6(-6v+20)=-16-20-18v equation: 


Simplifying
5v + 6(-6v + 20) = -16 + -20 + -18v

Reorder the terms:
5v + 6(20 + -6v) = -16 + -20 + -18v
5v + (20 * 6 + -6v * 6) = -16 + -20 + -18v
5v + (120 + -36v) = -16 + -20 + -18v

Reorder the terms:
120 + 5v + -36v = -16 + -20 + -18v

Combine like terms: 5v + -36v = -31v
120 + -31v = -16 + -20 + -18v

Combine like terms: -16 + -20 = -36
120 + -31v = -36 + -18v

Solving
120 + -31v = -36 + -18v

Solving for variable 'v'.

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

Add '18v' to each side of the equation.
120 + -31v + 18v = -36 + -18v + 18v

Combine like terms: -31v + 18v = -13v
120 + -13v = -36 + -18v + 18v

Combine like terms: -18v + 18v = 0
120 + -13v = -36 + 0
120 + -13v = -36

Add '-120' to each side of the equation.
120 + -120 + -13v = -36 + -120

Combine like terms: 120 + -120 = 0
0 + -13v = -36 + -120
-13v = -36 + -120

Combine like terms: -36 + -120 = -156
-13v = -156

Divide each side by '-13'.
v = 12

Simplifying
v = 12

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