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Simplifying 5(2r + 6) = 7r + 9 Reorder the terms: 5(6 + 2r) = 7r + 9 (6 * 5 + 2r * 5) = 7r + 9 (30 + 10r) = 7r + 9 Reorder the terms: 30 + 10r = 9 + 7r Solving 30 + 10r = 9 + 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. 30 + 10r + -7r = 9 + 7r + -7r Combine like terms: 10r + -7r = 3r 30 + 3r = 9 + 7r + -7r Combine like terms: 7r + -7r = 0 30 + 3r = 9 + 0 30 + 3r = 9 Add '-30' to each side of the equation. 30 + -30 + 3r = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 3r = 9 + -30 3r = 9 + -30 Combine like terms: 9 + -30 = -21 3r = -21 Divide each side by '3'. r = -7 Simplifying r = -7
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