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Simplifying 2(3n + 2) = 8(9n + 9) + 4 Reorder the terms: 2(2 + 3n) = 8(9n + 9) + 4 (2 * 2 + 3n * 2) = 8(9n + 9) + 4 (4 + 6n) = 8(9n + 9) + 4 Reorder the terms: 4 + 6n = 8(9 + 9n) + 4 4 + 6n = (9 * 8 + 9n * 8) + 4 4 + 6n = (72 + 72n) + 4 Reorder the terms: 4 + 6n = 72 + 4 + 72n Combine like terms: 72 + 4 = 76 4 + 6n = 76 + 72n Solving 4 + 6n = 76 + 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. 4 + 6n + -72n = 76 + 72n + -72n Combine like terms: 6n + -72n = -66n 4 + -66n = 76 + 72n + -72n Combine like terms: 72n + -72n = 0 4 + -66n = 76 + 0 4 + -66n = 76 Add '-4' to each side of the equation. 4 + -4 + -66n = 76 + -4 Combine like terms: 4 + -4 = 0 0 + -66n = 76 + -4 -66n = 76 + -4 Combine like terms: 76 + -4 = 72 -66n = 72 Divide each side by '-66'. n = -1.090909091 Simplifying n = -1.090909091
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