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Simplifying 13(r + 1) + 2r = 163 Reorder the terms: 13(1 + r) + 2r = 163 (1 * 13 + r * 13) + 2r = 163 (13 + 13r) + 2r = 163 Combine like terms: 13r + 2r = 15r 13 + 15r = 163 Solving 13 + 15r = 163 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 15r = 163 + -13 Combine like terms: 13 + -13 = 0 0 + 15r = 163 + -13 15r = 163 + -13 Combine like terms: 163 + -13 = 150 15r = 150 Divide each side by '15'. r = 10 Simplifying r = 10
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