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Simplifying -5(15r + -15) = -6(5r + 10) Reorder the terms: -5(-15 + 15r) = -6(5r + 10) (-15 * -5 + 15r * -5) = -6(5r + 10) (75 + -75r) = -6(5r + 10) Reorder the terms: 75 + -75r = -6(10 + 5r) 75 + -75r = (10 * -6 + 5r * -6) 75 + -75r = (-60 + -30r) Solving 75 + -75r = -60 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. 75 + -75r + 30r = -60 + -30r + 30r Combine like terms: -75r + 30r = -45r 75 + -45r = -60 + -30r + 30r Combine like terms: -30r + 30r = 0 75 + -45r = -60 + 0 75 + -45r = -60 Add '-75' to each side of the equation. 75 + -75 + -45r = -60 + -75 Combine like terms: 75 + -75 = 0 0 + -45r = -60 + -75 -45r = -60 + -75 Combine like terms: -60 + -75 = -135 -45r = -135 Divide each side by '-45'. r = 3 Simplifying r = 3
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