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Simplifying 2(5 + 3r) = 15 + 7r (5 * 2 + 3r * 2) = 15 + 7r (10 + 6r) = 15 + 7r Solving 10 + 6r = 15 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 10 + 6r + -7r = 15 + 7r + -7r Combine like terms: 6r + -7r = -1r 10 + -1r = 15 + 7r + -7r Combine like terms: 7r + -7r = 0 10 + -1r = 15 + 0 10 + -1r = 15 Add '-10' to each side of the equation. 10 + -10 + -1r = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 15 + -10 -1r = 15 + -10 Combine like terms: 15 + -10 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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