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Simplifying 7(r + 1) = 5r + 59 Reorder the terms: 7(1 + r) = 5r + 59 (1 * 7 + r * 7) = 5r + 59 (7 + 7r) = 5r + 59 Reorder the terms: 7 + 7r = 59 + 5r Solving 7 + 7r = 59 + 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. 7 + 7r + -5r = 59 + 5r + -5r Combine like terms: 7r + -5r = 2r 7 + 2r = 59 + 5r + -5r Combine like terms: 5r + -5r = 0 7 + 2r = 59 + 0 7 + 2r = 59 Add '-7' to each side of the equation. 7 + -7 + 2r = 59 + -7 Combine like terms: 7 + -7 = 0 0 + 2r = 59 + -7 2r = 59 + -7 Combine like terms: 59 + -7 = 52 2r = 52 Divide each side by '2'. r = 26 Simplifying r = 26
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