-31=3(v+3)-8v

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Solution for -31=3(v+3)-8v equation:


Simplifying
-31 = 3(v + 3) + -8v

Reorder the terms:
-31 = 3(3 + v) + -8v
-31 = (3 * 3 + v * 3) + -8v
-31 = (9 + 3v) + -8v

Combine like terms: 3v + -8v = -5v
-31 = 9 + -5v

Solving
-31 = 9 + -5v

Solving for variable 'v'.

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

Add '5v' to each side of the equation.
-31 + 5v = 9 + -5v + 5v

Combine like terms: -5v + 5v = 0
-31 + 5v = 9 + 0
-31 + 5v = 9

Add '31' to each side of the equation.
-31 + 31 + 5v = 9 + 31

Combine like terms: -31 + 31 = 0
0 + 5v = 9 + 31
5v = 9 + 31

Combine like terms: 9 + 31 = 40
5v = 40

Divide each side by '5'.
v = 8

Simplifying
v = 8

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