72=-3(1+4v)-3(-7v-1)

Solution for 72=-3(1+4v)-3(-7v-1) equation:

Simplifying
72 = -3(1 + 4v) + -3(-7v + -1)
72 = (1 * -3 + 4v * -3) + -3(-7v + -1)
72 = (-3 + -12v) + -3(-7v + -1)

Reorder the terms:
72 = -3 + -12v + -3(-1 + -7v)
72 = -3 + -12v + (-1 * -3 + -7v * -3)
72 = -3 + -12v + (3 + 21v)

Reorder the terms:
72 = -3 + 3 + -12v + 21v

Combine like terms: -3 + 3 = 0
72 = 0 + -12v + 21v
72 = -12v + 21v

Combine like terms: -12v + 21v = 9v
72 = 9v

Solving
72 = 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.
72 + -9v = 9v + -9v

Combine like terms: 9v + -9v = 0
72 + -9v = 0

Add '-72' to each side of the equation.
72 + -72 + -9v = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -9v = 0 + -72
-9v = 0 + -72

Combine like terms: 0 + -72 = -72
-9v = -72

Divide each side by '-9'.
v = 8

Simplifying
v = 8