5(v+1)=9v+13

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Solution for 5(v+1)=9v+13 equation:


Simplifying
5(v + 1) = 9v + 13

Reorder the terms:
5(1 + v) = 9v + 13
(1 * 5 + v * 5) = 9v + 13
(5 + 5v) = 9v + 13

Reorder the terms:
5 + 5v = 13 + 9v

Solving
5 + 5v = 13 + 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.
5 + 5v + -9v = 13 + 9v + -9v

Combine like terms: 5v + -9v = -4v
5 + -4v = 13 + 9v + -9v

Combine like terms: 9v + -9v = 0
5 + -4v = 13 + 0
5 + -4v = 13

Add '-5' to each side of the equation.
5 + -5 + -4v = 13 + -5

Combine like terms: 5 + -5 = 0
0 + -4v = 13 + -5
-4v = 13 + -5

Combine like terms: 13 + -5 = 8
-4v = 8

Divide each side by '-4'.
v = -2

Simplifying
v = -2

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