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Simplifying 2(r + 5) = r + 13 Reorder the terms: 2(5 + r) = r + 13 (5 * 2 + r * 2) = r + 13 (10 + 2r) = r + 13 Reorder the terms: 10 + 2r = 13 + r Solving 10 + 2r = 13 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 10 + 2r + -1r = 13 + r + -1r Combine like terms: 2r + -1r = 1r 10 + 1r = 13 + r + -1r Combine like terms: r + -1r = 0 10 + 1r = 13 + 0 10 + 1r = 13 Add '-10' to each side of the equation. 10 + -10 + 1r = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 1r = 13 + -10 1r = 13 + -10 Combine like terms: 13 + -10 = 3 1r = 3 Divide each side by '1'. r = 3 Simplifying r = 3
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