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Simplifying -9(-3r + -16) = 5r + -76 Reorder the terms: -9(-16 + -3r) = 5r + -76 (-16 * -9 + -3r * -9) = 5r + -76 (144 + 27r) = 5r + -76 Reorder the terms: 144 + 27r = -76 + 5r Solving 144 + 27r = -76 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 144 + 27r + -5r = -76 + 5r + -5r Combine like terms: 27r + -5r = 22r 144 + 22r = -76 + 5r + -5r Combine like terms: 5r + -5r = 0 144 + 22r = -76 + 0 144 + 22r = -76 Add '-144' to each side of the equation. 144 + -144 + 22r = -76 + -144 Combine like terms: 144 + -144 = 0 0 + 22r = -76 + -144 22r = -76 + -144 Combine like terms: -76 + -144 = -220 22r = -220 Divide each side by '22'. r = -10 Simplifying r = -10
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