6(v+4)=9v+36

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Solution for 6(v+4)=9v+36 equation:


Simplifying
6(v + 4) = 9v + 36

Reorder the terms:
6(4 + v) = 9v + 36
(4 * 6 + v * 6) = 9v + 36
(24 + 6v) = 9v + 36

Reorder the terms:
24 + 6v = 36 + 9v

Solving
24 + 6v = 36 + 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.
24 + 6v + -9v = 36 + 9v + -9v

Combine like terms: 6v + -9v = -3v
24 + -3v = 36 + 9v + -9v

Combine like terms: 9v + -9v = 0
24 + -3v = 36 + 0
24 + -3v = 36

Add '-24' to each side of the equation.
24 + -24 + -3v = 36 + -24

Combine like terms: 24 + -24 = 0
0 + -3v = 36 + -24
-3v = 36 + -24

Combine like terms: 36 + -24 = 12
-3v = 12

Divide each side by '-3'.
v = -4

Simplifying
v = -4

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