7v+2=9(v-2)

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Solution for 7v+2=9(v-2) equation: 


Simplifying
7v + 2 = 9(v + -2)

Reorder the terms:
2 + 7v = 9(v + -2)

Reorder the terms:
2 + 7v = 9(-2 + v)
2 + 7v = (-2 * 9 + v * 9)
2 + 7v = (-18 + 9v)

Solving
2 + 7v = -18 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
2 + 7v + -9v = -18 + 9v + -9v

Combine like terms: 7v + -9v = -2v
2 + -2v = -18 + 9v + -9v

Combine like terms: 9v + -9v = 0
2 + -2v = -18 + 0
2 + -2v = -18

Add '-2' to each side of the equation.
2 + -2 + -2v = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -2v = -18 + -2
-2v = -18 + -2

Combine like terms: -18 + -2 = -20
-2v = -20

Divide each side by '-2'.
v = 10

Simplifying
v = 10

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