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Simplifying 2(3n + 4) = 8(8n + 3) + 9 Reorder the terms: 2(4 + 3n) = 8(8n + 3) + 9 (4 * 2 + 3n * 2) = 8(8n + 3) + 9 (8 + 6n) = 8(8n + 3) + 9 Reorder the terms: 8 + 6n = 8(3 + 8n) + 9 8 + 6n = (3 * 8 + 8n * 8) + 9 8 + 6n = (24 + 64n) + 9 Reorder the terms: 8 + 6n = 24 + 9 + 64n Combine like terms: 24 + 9 = 33 8 + 6n = 33 + 64n Solving 8 + 6n = 33 + 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. 8 + 6n + -64n = 33 + 64n + -64n Combine like terms: 6n + -64n = -58n 8 + -58n = 33 + 64n + -64n Combine like terms: 64n + -64n = 0 8 + -58n = 33 + 0 8 + -58n = 33 Add '-8' to each side of the equation. 8 + -8 + -58n = 33 + -8 Combine like terms: 8 + -8 = 0 0 + -58n = 33 + -8 -58n = 33 + -8 Combine like terms: 33 + -8 = 25 -58n = 25 Divide each side by '-58'. n = -0.4310344828 Simplifying n = -0.4310344828
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