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Simplifying -1(-5 + -8r) = 3(3r + 6) (-5 * -1 + -8r * -1) = 3(3r + 6) (5 + 8r) = 3(3r + 6) Reorder the terms: 5 + 8r = 3(6 + 3r) 5 + 8r = (6 * 3 + 3r * 3) 5 + 8r = (18 + 9r) Solving 5 + 8r = 18 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 5 + 8r + -9r = 18 + 9r + -9r Combine like terms: 8r + -9r = -1r 5 + -1r = 18 + 9r + -9r Combine like terms: 9r + -9r = 0 5 + -1r = 18 + 0 5 + -1r = 18 Add '-5' to each side of the equation. 5 + -5 + -1r = 18 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 18 + -5 -1r = 18 + -5 Combine like terms: 18 + -5 = 13 -1r = 13 Divide each side by '-1'. r = -13 Simplifying r = -13
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