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Simplifying 9(2r + 6) = 3(5r + 2) + 6 Reorder the terms: 9(6 + 2r) = 3(5r + 2) + 6 (6 * 9 + 2r * 9) = 3(5r + 2) + 6 (54 + 18r) = 3(5r + 2) + 6 Reorder the terms: 54 + 18r = 3(2 + 5r) + 6 54 + 18r = (2 * 3 + 5r * 3) + 6 54 + 18r = (6 + 15r) + 6 Reorder the terms: 54 + 18r = 6 + 6 + 15r Combine like terms: 6 + 6 = 12 54 + 18r = 12 + 15r Solving 54 + 18r = 12 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. 54 + 18r + -15r = 12 + 15r + -15r Combine like terms: 18r + -15r = 3r 54 + 3r = 12 + 15r + -15r Combine like terms: 15r + -15r = 0 54 + 3r = 12 + 0 54 + 3r = 12 Add '-54' to each side of the equation. 54 + -54 + 3r = 12 + -54 Combine like terms: 54 + -54 = 0 0 + 3r = 12 + -54 3r = 12 + -54 Combine like terms: 12 + -54 = -42 3r = -42 Divide each side by '3'. r = -14 Simplifying r = -14
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