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Simplifying 12(5r + -45) = 5(3r + 9) Reorder the terms: 12(-45 + 5r) = 5(3r + 9) (-45 * 12 + 5r * 12) = 5(3r + 9) (-540 + 60r) = 5(3r + 9) Reorder the terms: -540 + 60r = 5(9 + 3r) -540 + 60r = (9 * 5 + 3r * 5) -540 + 60r = (45 + 15r) Solving -540 + 60r = 45 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -540 + 60r + -15r = 45 + 15r + -15r Combine like terms: 60r + -15r = 45r -540 + 45r = 45 + 15r + -15r Combine like terms: 15r + -15r = 0 -540 + 45r = 45 + 0 -540 + 45r = 45 Add '540' to each side of the equation. -540 + 540 + 45r = 45 + 540 Combine like terms: -540 + 540 = 0 0 + 45r = 45 + 540 45r = 45 + 540 Combine like terms: 45 + 540 = 585 45r = 585 Divide each side by '45'. r = 13 Simplifying r = 13
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