9(v+2)=2v+11

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Solution for 9(v+2)=2v+11 equation:


Simplifying
9(v + 2) = 2v + 11

Reorder the terms:
9(2 + v) = 2v + 11
(2 * 9 + v * 9) = 2v + 11
(18 + 9v) = 2v + 11

Reorder the terms:
18 + 9v = 11 + 2v

Solving
18 + 9v = 11 + 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.
18 + 9v + -2v = 11 + 2v + -2v

Combine like terms: 9v + -2v = 7v
18 + 7v = 11 + 2v + -2v

Combine like terms: 2v + -2v = 0
18 + 7v = 11 + 0
18 + 7v = 11

Add '-18' to each side of the equation.
18 + -18 + 7v = 11 + -18

Combine like terms: 18 + -18 = 0
0 + 7v = 11 + -18
7v = 11 + -18

Combine like terms: 11 + -18 = -7
7v = -7

Divide each side by '7'.
v = -1

Simplifying
v = -1

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