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Simplifying 3(r + 1) + 1 = 10 Reorder the terms: 3(1 + r) + 1 = 10 (1 * 3 + r * 3) + 1 = 10 (3 + 3r) + 1 = 10 Reorder the terms: 3 + 1 + 3r = 10 Combine like terms: 3 + 1 = 4 4 + 3r = 10 Solving 4 + 3r = 10 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3r = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 10 + -4 3r = 10 + -4 Combine like terms: 10 + -4 = 6 3r = 6 Divide each side by '3'. r = 2 Simplifying r = 2
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