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Simplifying 8(3n + 4) = 8(8n + 7) + 2 Reorder the terms: 8(4 + 3n) = 8(8n + 7) + 2 (4 * 8 + 3n * 8) = 8(8n + 7) + 2 (32 + 24n) = 8(8n + 7) + 2 Reorder the terms: 32 + 24n = 8(7 + 8n) + 2 32 + 24n = (7 * 8 + 8n * 8) + 2 32 + 24n = (56 + 64n) + 2 Reorder the terms: 32 + 24n = 56 + 2 + 64n Combine like terms: 56 + 2 = 58 32 + 24n = 58 + 64n Solving 32 + 24n = 58 + 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. 32 + 24n + -64n = 58 + 64n + -64n Combine like terms: 24n + -64n = -40n 32 + -40n = 58 + 64n + -64n Combine like terms: 64n + -64n = 0 32 + -40n = 58 + 0 32 + -40n = 58 Add '-32' to each side of the equation. 32 + -32 + -40n = 58 + -32 Combine like terms: 32 + -32 = 0 0 + -40n = 58 + -32 -40n = 58 + -32 Combine like terms: 58 + -32 = 26 -40n = 26 Divide each side by '-40'. n = -0.65 Simplifying n = -0.65
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