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Simplifying 9(5 + r) = 10 + 2r (5 * 9 + r * 9) = 10 + 2r (45 + 9r) = 10 + 2r Solving 45 + 9r = 10 + 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. 45 + 9r + -2r = 10 + 2r + -2r Combine like terms: 9r + -2r = 7r 45 + 7r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 45 + 7r = 10 + 0 45 + 7r = 10 Add '-45' to each side of the equation. 45 + -45 + 7r = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 7r = 10 + -45 7r = 10 + -45 Combine like terms: 10 + -45 = -35 7r = -35 Divide each side by '7'. r = -5 Simplifying r = -5
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