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Simplifying 5(3r + 6) = 9(5r + -40) Reorder the terms: 5(6 + 3r) = 9(5r + -40) (6 * 5 + 3r * 5) = 9(5r + -40) (30 + 15r) = 9(5r + -40) Reorder the terms: 30 + 15r = 9(-40 + 5r) 30 + 15r = (-40 * 9 + 5r * 9) 30 + 15r = (-360 + 45r) Solving 30 + 15r = -360 + 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. 30 + 15r + -45r = -360 + 45r + -45r Combine like terms: 15r + -45r = -30r 30 + -30r = -360 + 45r + -45r Combine like terms: 45r + -45r = 0 30 + -30r = -360 + 0 30 + -30r = -360 Add '-30' to each side of the equation. 30 + -30 + -30r = -360 + -30 Combine like terms: 30 + -30 = 0 0 + -30r = -360 + -30 -30r = -360 + -30 Combine like terms: -360 + -30 = -390 -30r = -390 Divide each side by '-30'. r = 13 Simplifying r = 13
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