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Simplifying 2(4r + 5) + 15 = 2(r + 18) + 3r Reorder the terms: 2(5 + 4r) + 15 = 2(r + 18) + 3r (5 * 2 + 4r * 2) + 15 = 2(r + 18) + 3r (10 + 8r) + 15 = 2(r + 18) + 3r Reorder the terms: 10 + 15 + 8r = 2(r + 18) + 3r Combine like terms: 10 + 15 = 25 25 + 8r = 2(r + 18) + 3r Reorder the terms: 25 + 8r = 2(18 + r) + 3r 25 + 8r = (18 * 2 + r * 2) + 3r 25 + 8r = (36 + 2r) + 3r Combine like terms: 2r + 3r = 5r 25 + 8r = 36 + 5r Solving 25 + 8r = 36 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 25 + 8r + -5r = 36 + 5r + -5r Combine like terms: 8r + -5r = 3r 25 + 3r = 36 + 5r + -5r Combine like terms: 5r + -5r = 0 25 + 3r = 36 + 0 25 + 3r = 36 Add '-25' to each side of the equation. 25 + -25 + 3r = 36 + -25 Combine like terms: 25 + -25 = 0 0 + 3r = 36 + -25 3r = 36 + -25 Combine like terms: 36 + -25 = 11 3r = 11 Divide each side by '3'. r = 3.666666667 Simplifying r = 3.666666667
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