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Simplifying 3(3r + 5) = 24 + 10r Reorder the terms: 3(5 + 3r) = 24 + 10r (5 * 3 + 3r * 3) = 24 + 10r (15 + 9r) = 24 + 10r Solving 15 + 9r = 24 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 15 + 9r + -10r = 24 + 10r + -10r Combine like terms: 9r + -10r = -1r 15 + -1r = 24 + 10r + -10r Combine like terms: 10r + -10r = 0 15 + -1r = 24 + 0 15 + -1r = 24 Add '-15' to each side of the equation. 15 + -15 + -1r = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -1r = 24 + -15 -1r = 24 + -15 Combine like terms: 24 + -15 = 9 -1r = 9 Divide each side by '-1'. r = -9 Simplifying r = -9
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