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Simplifying 5(3r + 27) = 12(5r + -45) Reorder the terms: 5(27 + 3r) = 12(5r + -45) (27 * 5 + 3r * 5) = 12(5r + -45) (135 + 15r) = 12(5r + -45) Reorder the terms: 135 + 15r = 12(-45 + 5r) 135 + 15r = (-45 * 12 + 5r * 12) 135 + 15r = (-540 + 60r) Solving 135 + 15r = -540 + 60r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-60r' to each side of the equation. 135 + 15r + -60r = -540 + 60r + -60r Combine like terms: 15r + -60r = -45r 135 + -45r = -540 + 60r + -60r Combine like terms: 60r + -60r = 0 135 + -45r = -540 + 0 135 + -45r = -540 Add '-135' to each side of the equation. 135 + -135 + -45r = -540 + -135 Combine like terms: 135 + -135 = 0 0 + -45r = -540 + -135 -45r = -540 + -135 Combine like terms: -540 + -135 = -675 -45r = -675 Divide each side by '-45'. r = 15 Simplifying r = 15
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