-2(v-8)=-7v+31

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Solution for -2(v-8)=-7v+31 equation: 


Simplifying
-2(v + -8) = -7v + 31

Reorder the terms:
-2(-8 + v) = -7v + 31
(-8 * -2 + v * -2) = -7v + 31
(16 + -2v) = -7v + 31

Reorder the terms:
16 + -2v = 31 + -7v

Solving
16 + -2v = 31 + -7v

Solving for variable 'v'.

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

Add '7v' to each side of the equation.
16 + -2v + 7v = 31 + -7v + 7v

Combine like terms: -2v + 7v = 5v
16 + 5v = 31 + -7v + 7v

Combine like terms: -7v + 7v = 0
16 + 5v = 31 + 0
16 + 5v = 31

Add '-16' to each side of the equation.
16 + -16 + 5v = 31 + -16

Combine like terms: 16 + -16 = 0
0 + 5v = 31 + -16
5v = 31 + -16

Combine like terms: 31 + -16 = 15
5v = 15

Divide each side by '5'.
v = 3

Simplifying
v = 3

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