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Simplifying 8r + 3(r + 8) = 15 + 8r Reorder the terms: 8r + 3(8 + r) = 15 + 8r 8r + (8 * 3 + r * 3) = 15 + 8r 8r + (24 + 3r) = 15 + 8r Reorder the terms: 24 + 8r + 3r = 15 + 8r Combine like terms: 8r + 3r = 11r 24 + 11r = 15 + 8r Solving 24 + 11r = 15 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 24 + 11r + -8r = 15 + 8r + -8r Combine like terms: 11r + -8r = 3r 24 + 3r = 15 + 8r + -8r Combine like terms: 8r + -8r = 0 24 + 3r = 15 + 0 24 + 3r = 15 Add '-24' to each side of the equation. 24 + -24 + 3r = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 3r = 15 + -24 3r = 15 + -24 Combine like terms: 15 + -24 = -9 3r = -9 Divide each side by '3'. r = -3 Simplifying r = -3
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