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Simplifying 3(5r + 30) = 15(3r + -18) Reorder the terms: 3(30 + 5r) = 15(3r + -18) (30 * 3 + 5r * 3) = 15(3r + -18) (90 + 15r) = 15(3r + -18) Reorder the terms: 90 + 15r = 15(-18 + 3r) 90 + 15r = (-18 * 15 + 3r * 15) 90 + 15r = (-270 + 45r) Solving 90 + 15r = -270 + 45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-45r' to each side of the equation. 90 + 15r + -45r = -270 + 45r + -45r Combine like terms: 15r + -45r = -30r 90 + -30r = -270 + 45r + -45r Combine like terms: 45r + -45r = 0 90 + -30r = -270 + 0 90 + -30r = -270 Add '-90' to each side of the equation. 90 + -90 + -30r = -270 + -90 Combine like terms: 90 + -90 = 0 0 + -30r = -270 + -90 -30r = -270 + -90 Combine like terms: -270 + -90 = -360 -30r = -360 Divide each side by '-30'. r = 12 Simplifying r = 12
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