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Simplifying 7(2n + 1) = 7(8n + 9) + 5 Reorder the terms: 7(1 + 2n) = 7(8n + 9) + 5 (1 * 7 + 2n * 7) = 7(8n + 9) + 5 (7 + 14n) = 7(8n + 9) + 5 Reorder the terms: 7 + 14n = 7(9 + 8n) + 5 7 + 14n = (9 * 7 + 8n * 7) + 5 7 + 14n = (63 + 56n) + 5 Reorder the terms: 7 + 14n = 63 + 5 + 56n Combine like terms: 63 + 5 = 68 7 + 14n = 68 + 56n Solving 7 + 14n = 68 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 7 + 14n + -56n = 68 + 56n + -56n Combine like terms: 14n + -56n = -42n 7 + -42n = 68 + 56n + -56n Combine like terms: 56n + -56n = 0 7 + -42n = 68 + 0 7 + -42n = 68 Add '-7' to each side of the equation. 7 + -7 + -42n = 68 + -7 Combine like terms: 7 + -7 = 0 0 + -42n = 68 + -7 -42n = 68 + -7 Combine like terms: 68 + -7 = 61 -42n = 61 Divide each side by '-42'. n = -1.452380952 Simplifying n = -1.452380952
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