-5(5r-8)+3(7r+4)=72

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Solution for -5(5r-8)+3(7r+4)=72 equation:


Simplifying
-5(5r + -8) + 3(7r + 4) = 72

Reorder the terms:
-5(-8 + 5r) + 3(7r + 4) = 72
(-8 * -5 + 5r * -5) + 3(7r + 4) = 72
(40 + -25r) + 3(7r + 4) = 72

Reorder the terms:
40 + -25r + 3(4 + 7r) = 72
40 + -25r + (4 * 3 + 7r * 3) = 72
40 + -25r + (12 + 21r) = 72

Reorder the terms:
40 + 12 + -25r + 21r = 72

Combine like terms: 40 + 12 = 52
52 + -25r + 21r = 72

Combine like terms: -25r + 21r = -4r
52 + -4r = 72

Solving
52 + -4r = 72

Solving for variable 'r'.

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

Add '-52' to each side of the equation.
52 + -52 + -4r = 72 + -52

Combine like terms: 52 + -52 = 0
0 + -4r = 72 + -52
-4r = 72 + -52

Combine like terms: 72 + -52 = 20
-4r = 20

Divide each side by '-4'.
r = -5

Simplifying
r = -5

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