72=-8(-4+4r)-2(1+5r)

Solution for 72=-8(-4+4r)-2(1+5r) equation:

Simplifying
72 = -8(-4 + 4r) + -2(1 + 5r)
72 = (-4 * -8 + 4r * -8) + -2(1 + 5r)
72 = (32 + -32r) + -2(1 + 5r)
72 = 32 + -32r + (1 * -2 + 5r * -2)
72 = 32 + -32r + (-2 + -10r)

Reorder the terms:
72 = 32 + -2 + -32r + -10r

Combine like terms: 32 + -2 = 30
72 = 30 + -32r + -10r

Combine like terms: -32r + -10r = -42r
72 = 30 + -42r

Solving
72 = 30 + -42r

Solving for variable 'r'.

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

Add '42r' to each side of the equation.
72 + 42r = 30 + -42r + 42r

Combine like terms: -42r + 42r = 0
72 + 42r = 30 + 0
72 + 42r = 30

Add '-72' to each side of the equation.
72 + -72 + 42r = 30 + -72

Combine like terms: 72 + -72 = 0
0 + 42r = 30 + -72
42r = 30 + -72

Combine like terms: 30 + -72 = -42
42r = -42

Divide each side by '42'.
r = -1

Simplifying
r = -1