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Simplifying 5(3r + 3) = 6(5r + -5) Reorder the terms: 5(3 + 3r) = 6(5r + -5) (3 * 5 + 3r * 5) = 6(5r + -5) (15 + 15r) = 6(5r + -5) Reorder the terms: 15 + 15r = 6(-5 + 5r) 15 + 15r = (-5 * 6 + 5r * 6) 15 + 15r = (-30 + 30r) Solving 15 + 15r = -30 + 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. 15 + 15r + -30r = -30 + 30r + -30r Combine like terms: 15r + -30r = -15r 15 + -15r = -30 + 30r + -30r Combine like terms: 30r + -30r = 0 15 + -15r = -30 + 0 15 + -15r = -30 Add '-15' to each side of the equation. 15 + -15 + -15r = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -15r = -30 + -15 -15r = -30 + -15 Combine like terms: -30 + -15 = -45 -15r = -45 Divide each side by '-15'. r = 3 Simplifying r = 3
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