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Simplifying 2(4r + 5) + 15 = 2(r + 5) + 3r Reorder the terms: 2(5 + 4r) + 15 = 2(r + 5) + 3r (5 * 2 + 4r * 2) + 15 = 2(r + 5) + 3r (10 + 8r) + 15 = 2(r + 5) + 3r Reorder the terms: 10 + 15 + 8r = 2(r + 5) + 3r Combine like terms: 10 + 15 = 25 25 + 8r = 2(r + 5) + 3r Reorder the terms: 25 + 8r = 2(5 + r) + 3r 25 + 8r = (5 * 2 + r * 2) + 3r 25 + 8r = (10 + 2r) + 3r Combine like terms: 2r + 3r = 5r 25 + 8r = 10 + 5r Solving 25 + 8r = 10 + 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 = 10 + 5r + -5r Combine like terms: 8r + -5r = 3r 25 + 3r = 10 + 5r + -5r Combine like terms: 5r + -5r = 0 25 + 3r = 10 + 0 25 + 3r = 10 Add '-25' to each side of the equation. 25 + -25 + 3r = 10 + -25 Combine like terms: 25 + -25 = 0 0 + 3r = 10 + -25 3r = 10 + -25 Combine like terms: 10 + -25 = -15 3r = -15 Divide each side by '3'. r = -5 Simplifying r = -5
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