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Simplifying 2(3n + 4) = 8(9n + 9) + 2 Reorder the terms: 2(4 + 3n) = 8(9n + 9) + 2 (4 * 2 + 3n * 2) = 8(9n + 9) + 2 (8 + 6n) = 8(9n + 9) + 2 Reorder the terms: 8 + 6n = 8(9 + 9n) + 2 8 + 6n = (9 * 8 + 9n * 8) + 2 8 + 6n = (72 + 72n) + 2 Reorder the terms: 8 + 6n = 72 + 2 + 72n Combine like terms: 72 + 2 = 74 8 + 6n = 74 + 72n Solving 8 + 6n = 74 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 8 + 6n + -72n = 74 + 72n + -72n Combine like terms: 6n + -72n = -66n 8 + -66n = 74 + 72n + -72n Combine like terms: 72n + -72n = 0 8 + -66n = 74 + 0 8 + -66n = 74 Add '-8' to each side of the equation. 8 + -8 + -66n = 74 + -8 Combine like terms: 8 + -8 = 0 0 + -66n = 74 + -8 -66n = 74 + -8 Combine like terms: 74 + -8 = 66 -66n = 66 Divide each side by '-66'. n = -1 Simplifying n = -1
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