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Simplifying -8 + 7(r + 5) = 83 Reorder the terms: -8 + 7(5 + r) = 83 -8 + (5 * 7 + r * 7) = 83 -8 + (35 + 7r) = 83 Combine like terms: -8 + 35 = 27 27 + 7r = 83 Solving 27 + 7r = 83 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 7r = 83 + -27 Combine like terms: 27 + -27 = 0 0 + 7r = 83 + -27 7r = 83 + -27 Combine like terms: 83 + -27 = 56 7r = 56 Divide each side by '7'. r = 8 Simplifying r = 8
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