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Simplifying 3(5r + 5) = -33 + 3r Reorder the terms: 3(5 + 5r) = -33 + 3r (5 * 3 + 5r * 3) = -33 + 3r (15 + 15r) = -33 + 3r Solving 15 + 15r = -33 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 15 + 15r + -3r = -33 + 3r + -3r Combine like terms: 15r + -3r = 12r 15 + 12r = -33 + 3r + -3r Combine like terms: 3r + -3r = 0 15 + 12r = -33 + 0 15 + 12r = -33 Add '-15' to each side of the equation. 15 + -15 + 12r = -33 + -15 Combine like terms: 15 + -15 = 0 0 + 12r = -33 + -15 12r = -33 + -15 Combine like terms: -33 + -15 = -48 12r = -48 Divide each side by '12'. r = -4 Simplifying r = -4
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