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Simplifying 7(2n + 1) = 7(8n + 1) + 9 Reorder the terms: 7(1 + 2n) = 7(8n + 1) + 9 (1 * 7 + 2n * 7) = 7(8n + 1) + 9 (7 + 14n) = 7(8n + 1) + 9 Reorder the terms: 7 + 14n = 7(1 + 8n) + 9 7 + 14n = (1 * 7 + 8n * 7) + 9 7 + 14n = (7 + 56n) + 9 Reorder the terms: 7 + 14n = 7 + 9 + 56n Combine like terms: 7 + 9 = 16 7 + 14n = 16 + 56n Solving 7 + 14n = 16 + 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 = 16 + 56n + -56n Combine like terms: 14n + -56n = -42n 7 + -42n = 16 + 56n + -56n Combine like terms: 56n + -56n = 0 7 + -42n = 16 + 0 7 + -42n = 16 Add '-7' to each side of the equation. 7 + -7 + -42n = 16 + -7 Combine like terms: 7 + -7 = 0 0 + -42n = 16 + -7 -42n = 16 + -7 Combine like terms: 16 + -7 = 9 -42n = 9 Divide each side by '-42'. n = -0.2142857143 Simplifying n = -0.2142857143
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