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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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