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Simplifying 7(r + 1) + -2r = 3(r + 5) Reorder the terms: 7(1 + r) + -2r = 3(r + 5) (1 * 7 + r * 7) + -2r = 3(r + 5) (7 + 7r) + -2r = 3(r + 5) Combine like terms: 7r + -2r = 5r 7 + 5r = 3(r + 5) Reorder the terms: 7 + 5r = 3(5 + r) 7 + 5r = (5 * 3 + r * 3) 7 + 5r = (15 + 3r) Solving 7 + 5r = 15 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 7 + 5r + -3r = 15 + 3r + -3r Combine like terms: 5r + -3r = 2r 7 + 2r = 15 + 3r + -3r Combine like terms: 3r + -3r = 0 7 + 2r = 15 + 0 7 + 2r = 15 Add '-7' to each side of the equation. 7 + -7 + 2r = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2r = 15 + -7 2r = 15 + -7 Combine like terms: 15 + -7 = 8 2r = 8 Divide each side by '2'. r = 4 Simplifying r = 4
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