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Simplifying 17(r + 7) = 5r + 59 Reorder the terms: 17(7 + r) = 5r + 59 (7 * 17 + r * 17) = 5r + 59 (119 + 17r) = 5r + 59 Reorder the terms: 119 + 17r = 59 + 5r Solving 119 + 17r = 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. 119 + 17r + -5r = 59 + 5r + -5r Combine like terms: 17r + -5r = 12r 119 + 12r = 59 + 5r + -5r Combine like terms: 5r + -5r = 0 119 + 12r = 59 + 0 119 + 12r = 59 Add '-119' to each side of the equation. 119 + -119 + 12r = 59 + -119 Combine like terms: 119 + -119 = 0 0 + 12r = 59 + -119 12r = 59 + -119 Combine like terms: 59 + -119 = -60 12r = -60 Divide each side by '12'. r = -5 Simplifying r = -5
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