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Simplifying 7(3n + 5) = 8(8n + 3) + 4 Reorder the terms: 7(5 + 3n) = 8(8n + 3) + 4 (5 * 7 + 3n * 7) = 8(8n + 3) + 4 (35 + 21n) = 8(8n + 3) + 4 Reorder the terms: 35 + 21n = 8(3 + 8n) + 4 35 + 21n = (3 * 8 + 8n * 8) + 4 35 + 21n = (24 + 64n) + 4 Reorder the terms: 35 + 21n = 24 + 4 + 64n Combine like terms: 24 + 4 = 28 35 + 21n = 28 + 64n Solving 35 + 21n = 28 + 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. 35 + 21n + -64n = 28 + 64n + -64n Combine like terms: 21n + -64n = -43n 35 + -43n = 28 + 64n + -64n Combine like terms: 64n + -64n = 0 35 + -43n = 28 + 0 35 + -43n = 28 Add '-35' to each side of the equation. 35 + -35 + -43n = 28 + -35 Combine like terms: 35 + -35 = 0 0 + -43n = 28 + -35 -43n = 28 + -35 Combine like terms: 28 + -35 = -7 -43n = -7 Divide each side by '-43'. n = 0.1627906977 Simplifying n = 0.1627906977
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