-72=4(-4-5r)+4(-6r+8)

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Solution for -72=4(-4-5r)+4(-6r+8) equation: 


Simplifying
-72 = 4(-4 + -5r) + 4(-6r + 8)
-72 = (-4 * 4 + -5r * 4) + 4(-6r + 8)
-72 = (-16 + -20r) + 4(-6r + 8)

Reorder the terms:
-72 = -16 + -20r + 4(8 + -6r)
-72 = -16 + -20r + (8 * 4 + -6r * 4)
-72 = -16 + -20r + (32 + -24r)

Reorder the terms:
-72 = -16 + 32 + -20r + -24r

Combine like terms: -16 + 32 = 16
-72 = 16 + -20r + -24r

Combine like terms: -20r + -24r = -44r
-72 = 16 + -44r

Solving
-72 = 16 + -44r

Solving for variable 'r'.

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

Add '44r' to each side of the equation.
-72 + 44r = 16 + -44r + 44r

Combine like terms: -44r + 44r = 0
-72 + 44r = 16 + 0
-72 + 44r = 16

Add '72' to each side of the equation.
-72 + 72 + 44r = 16 + 72

Combine like terms: -72 + 72 = 0
0 + 44r = 16 + 72
44r = 16 + 72

Combine like terms: 16 + 72 = 88
44r = 88

Divide each side by '44'.
r = 2

Simplifying
r = 2

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