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Simplifying 8(r + -9) = 5(r + 5) Reorder the terms: 8(-9 + r) = 5(r + 5) (-9 * 8 + r * 8) = 5(r + 5) (-72 + 8r) = 5(r + 5) Reorder the terms: -72 + 8r = 5(5 + r) -72 + 8r = (5 * 5 + r * 5) -72 + 8r = (25 + 5r) Solving -72 + 8r = 25 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -72 + 8r + -5r = 25 + 5r + -5r Combine like terms: 8r + -5r = 3r -72 + 3r = 25 + 5r + -5r Combine like terms: 5r + -5r = 0 -72 + 3r = 25 + 0 -72 + 3r = 25 Add '72' to each side of the equation. -72 + 72 + 3r = 25 + 72 Combine like terms: -72 + 72 = 0 0 + 3r = 25 + 72 3r = 25 + 72 Combine like terms: 25 + 72 = 97 3r = 97 Divide each side by '3'. r = 32.33333333 Simplifying r = 32.33333333
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