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