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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 = 47 -3r = 47 Divide each side by '-3'. r = -15.66666667 Simplifying r = -15.66666667
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