3v+12-10v=-23-31v-5

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Solution for 3v+12-10v=-23-31v-5 equation:


Simplifying
3v + 12 + -10v = -23 + -31v + -5

Reorder the terms:
12 + 3v + -10v = -23 + -31v + -5

Combine like terms: 3v + -10v = -7v
12 + -7v = -23 + -31v + -5

Reorder the terms:
12 + -7v = -23 + -5 + -31v

Combine like terms: -23 + -5 = -28
12 + -7v = -28 + -31v

Solving
12 + -7v = -28 + -31v

Solving for variable 'v'.

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

Add '31v' to each side of the equation.
12 + -7v + 31v = -28 + -31v + 31v

Combine like terms: -7v + 31v = 24v
12 + 24v = -28 + -31v + 31v

Combine like terms: -31v + 31v = 0
12 + 24v = -28 + 0
12 + 24v = -28

Add '-12' to each side of the equation.
12 + -12 + 24v = -28 + -12

Combine like terms: 12 + -12 = 0
0 + 24v = -28 + -12
24v = -28 + -12

Combine like terms: -28 + -12 = -40
24v = -40

Divide each side by '24'.
v = -1.666666667

Simplifying
v = -1.666666667

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