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Simplifying 3(5r + 15) = 10(3r + -9) Reorder the terms: 3(15 + 5r) = 10(3r + -9) (15 * 3 + 5r * 3) = 10(3r + -9) (45 + 15r) = 10(3r + -9) Reorder the terms: 45 + 15r = 10(-9 + 3r) 45 + 15r = (-9 * 10 + 3r * 10) 45 + 15r = (-90 + 30r) Solving 45 + 15r = -90 + 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. 45 + 15r + -30r = -90 + 30r + -30r Combine like terms: 15r + -30r = -15r 45 + -15r = -90 + 30r + -30r Combine like terms: 30r + -30r = 0 45 + -15r = -90 + 0 45 + -15r = -90 Add '-45' to each side of the equation. 45 + -45 + -15r = -90 + -45 Combine like terms: 45 + -45 = 0 0 + -15r = -90 + -45 -15r = -90 + -45 Combine like terms: -90 + -45 = -135 -15r = -135 Divide each side by '-15'. r = 9 Simplifying r = 9
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