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Simplifying 5(r + 3) = 2(r + 6) Reorder the terms: 5(3 + r) = 2(r + 6) (3 * 5 + r * 5) = 2(r + 6) (15 + 5r) = 2(r + 6) Reorder the terms: 15 + 5r = 2(6 + r) 15 + 5r = (6 * 2 + r * 2) 15 + 5r = (12 + 2r) Solving 15 + 5r = 12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 15 + 5r + -2r = 12 + 2r + -2r Combine like terms: 5r + -2r = 3r 15 + 3r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 15 + 3r = 12 + 0 15 + 3r = 12 Add '-15' to each side of the equation. 15 + -15 + 3r = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3r = 12 + -15 3r = 12 + -15 Combine like terms: 12 + -15 = -3 3r = -3 Divide each side by '3'. r = -1 Simplifying r = -1
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