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Simplifying 4(2n + 5) = 8(8n + 3) + 2 Reorder the terms: 4(5 + 2n) = 8(8n + 3) + 2 (5 * 4 + 2n * 4) = 8(8n + 3) + 2 (20 + 8n) = 8(8n + 3) + 2 Reorder the terms: 20 + 8n = 8(3 + 8n) + 2 20 + 8n = (3 * 8 + 8n * 8) + 2 20 + 8n = (24 + 64n) + 2 Reorder the terms: 20 + 8n = 24 + 2 + 64n Combine like terms: 24 + 2 = 26 20 + 8n = 26 + 64n Solving 20 + 8n = 26 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 20 + 8n + -64n = 26 + 64n + -64n Combine like terms: 8n + -64n = -56n 20 + -56n = 26 + 64n + -64n Combine like terms: 64n + -64n = 0 20 + -56n = 26 + 0 20 + -56n = 26 Add '-20' to each side of the equation. 20 + -20 + -56n = 26 + -20 Combine like terms: 20 + -20 = 0 0 + -56n = 26 + -20 -56n = 26 + -20 Combine like terms: 26 + -20 = 6 -56n = 6 Divide each side by '-56'. n = -0.1071428571 Simplifying n = -0.1071428571
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