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Simplifying 8(2n + 5) = 7(8n + 3) + 1 Reorder the terms: 8(5 + 2n) = 7(8n + 3) + 1 (5 * 8 + 2n * 8) = 7(8n + 3) + 1 (40 + 16n) = 7(8n + 3) + 1 Reorder the terms: 40 + 16n = 7(3 + 8n) + 1 40 + 16n = (3 * 7 + 8n * 7) + 1 40 + 16n = (21 + 56n) + 1 Reorder the terms: 40 + 16n = 21 + 1 + 56n Combine like terms: 21 + 1 = 22 40 + 16n = 22 + 56n Solving 40 + 16n = 22 + 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. 40 + 16n + -56n = 22 + 56n + -56n Combine like terms: 16n + -56n = -40n 40 + -40n = 22 + 56n + -56n Combine like terms: 56n + -56n = 0 40 + -40n = 22 + 0 40 + -40n = 22 Add '-40' to each side of the equation. 40 + -40 + -40n = 22 + -40 Combine like terms: 40 + -40 = 0 0 + -40n = 22 + -40 -40n = 22 + -40 Combine like terms: 22 + -40 = -18 -40n = -18 Divide each side by '-40'. n = 0.45 Simplifying n = 0.45
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