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Simplifying 6(r + 5) + 1 = 97 Reorder the terms: 6(5 + r) + 1 = 97 (5 * 6 + r * 6) + 1 = 97 (30 + 6r) + 1 = 97 Reorder the terms: 30 + 1 + 6r = 97 Combine like terms: 30 + 1 = 31 31 + 6r = 97 Solving 31 + 6r = 97 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 6r = 97 + -31 Combine like terms: 31 + -31 = 0 0 + 6r = 97 + -31 6r = 97 + -31 Combine like terms: 97 + -31 = 66 6r = 66 Divide each side by '6'. r = 11 Simplifying r = 11
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