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

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

Simplifying
72 = 4(5r + 1) + -4(1 + -1r)

Reorder the terms:
72 = 4(1 + 5r) + -4(1 + -1r)
72 = (1 * 4 + 5r * 4) + -4(1 + -1r)
72 = (4 + 20r) + -4(1 + -1r)
72 = 4 + 20r + (1 * -4 + -1r * -4)
72 = 4 + 20r + (-4 + 4r)

Reorder the terms:
72 = 4 + -4 + 20r + 4r

Combine like terms: 4 + -4 = 0
72 = 0 + 20r + 4r
72 = 20r + 4r

Combine like terms: 20r + 4r = 24r
72 = 24r

Solving
72 = 24r

Solving for variable 'r'.

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

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

Combine like terms: 24r + -24r = 0
72 + -24r = 0

Add '-72' to each side of the equation.
72 + -72 + -24r = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -24r = 0 + -72
-24r = 0 + -72

Combine like terms: 0 + -72 = -72
-24r = -72

Divide each side by '-24'.
r = 3

Simplifying
r = 3