7v-34=-2(v-1)

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Solution for 7v-34=-2(v-1) equation:


Simplifying
7v + -34 = -2(v + -1)

Reorder the terms:
-34 + 7v = -2(v + -1)

Reorder the terms:
-34 + 7v = -2(-1 + v)
-34 + 7v = (-1 * -2 + v * -2)
-34 + 7v = (2 + -2v)

Solving
-34 + 7v = 2 + -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
-34 + 7v + 2v = 2 + -2v + 2v

Combine like terms: 7v + 2v = 9v
-34 + 9v = 2 + -2v + 2v

Combine like terms: -2v + 2v = 0
-34 + 9v = 2 + 0
-34 + 9v = 2

Add '34' to each side of the equation.
-34 + 34 + 9v = 2 + 34

Combine like terms: -34 + 34 = 0
0 + 9v = 2 + 34
9v = 2 + 34

Combine like terms: 2 + 34 = 36
9v = 36

Divide each side by '9'.
v = 4

Simplifying
v = 4

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