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Simplifying 2(7n + 34) + 9(n + 1) = 0 Reorder the terms: 2(34 + 7n) + 9(n + 1) = 0 (34 * 2 + 7n * 2) + 9(n + 1) = 0 (68 + 14n) + 9(n + 1) = 0 Reorder the terms: 68 + 14n + 9(1 + n) = 0 68 + 14n + (1 * 9 + n * 9) = 0 68 + 14n + (9 + 9n) = 0 Reorder the terms: 68 + 9 + 14n + 9n = 0 Combine like terms: 68 + 9 = 77 77 + 14n + 9n = 0 Combine like terms: 14n + 9n = 23n 77 + 23n = 0 Solving 77 + 23n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 23n = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 23n = 0 + -77 23n = 0 + -77 Combine like terms: 0 + -77 = -77 23n = -77 Divide each side by '23'. n = -3.347826087 Simplifying n = -3.347826087
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