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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 = 39 1r = 39 Divide each side by '1'. r = 39 Simplifying r = 39
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