2v+31=7(v-2)

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


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

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

Reorder the terms:
31 + 2v = 7(-2 + v)
31 + 2v = (-2 * 7 + v * 7)
31 + 2v = (-14 + 7v)

Solving
31 + 2v = -14 + 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.
31 + 2v + -7v = -14 + 7v + -7v

Combine like terms: 2v + -7v = -5v
31 + -5v = -14 + 7v + -7v

Combine like terms: 7v + -7v = 0
31 + -5v = -14 + 0
31 + -5v = -14

Add '-31' to each side of the equation.
31 + -31 + -5v = -14 + -31

Combine like terms: 31 + -31 = 0
0 + -5v = -14 + -31
-5v = -14 + -31

Combine like terms: -14 + -31 = -45
-5v = -45

Divide each side by '-5'.
v = 9

Simplifying
v = 9

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