72=2v+6(v+4)

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Solution for 72=2v+6(v+4) equation:


Simplifying
72 = 2v + 6(v + 4)

Reorder the terms:
72 = 2v + 6(4 + v)
72 = 2v + (4 * 6 + v * 6)
72 = 2v + (24 + 6v)

Reorder the terms:
72 = 24 + 2v + 6v

Combine like terms: 2v + 6v = 8v
72 = 24 + 8v

Solving
72 = 24 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
72 + -8v = 24 + 8v + -8v

Combine like terms: 8v + -8v = 0
72 + -8v = 24 + 0
72 + -8v = 24

Add '-72' to each side of the equation.
72 + -72 + -8v = 24 + -72

Combine like terms: 72 + -72 = 0
0 + -8v = 24 + -72
-8v = 24 + -72

Combine like terms: 24 + -72 = -48
-8v = -48

Divide each side by '-8'.
v = 6

Simplifying
v = 6

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