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Simplifying 5(r + 3) + -6 = 3r + -2 + -9 Reorder the terms: 5(3 + r) + -6 = 3r + -2 + -9 (3 * 5 + r * 5) + -6 = 3r + -2 + -9 (15 + 5r) + -6 = 3r + -2 + -9 Reorder the terms: 15 + -6 + 5r = 3r + -2 + -9 Combine like terms: 15 + -6 = 9 9 + 5r = 3r + -2 + -9 Reorder the terms: 9 + 5r = -2 + -9 + 3r Combine like terms: -2 + -9 = -11 9 + 5r = -11 + 3r Solving 9 + 5r = -11 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 9 + 5r + -3r = -11 + 3r + -3r Combine like terms: 5r + -3r = 2r 9 + 2r = -11 + 3r + -3r Combine like terms: 3r + -3r = 0 9 + 2r = -11 + 0 9 + 2r = -11 Add '-9' to each side of the equation. 9 + -9 + 2r = -11 + -9 Combine like terms: 9 + -9 = 0 0 + 2r = -11 + -9 2r = -11 + -9 Combine like terms: -11 + -9 = -20 2r = -20 Divide each side by '2'. r = -10 Simplifying r = -10
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