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Simplifying 8(2n + 5) = 8(8n + 2) + 6 Reorder the terms: 8(5 + 2n) = 8(8n + 2) + 6 (5 * 8 + 2n * 8) = 8(8n + 2) + 6 (40 + 16n) = 8(8n + 2) + 6 Reorder the terms: 40 + 16n = 8(2 + 8n) + 6 40 + 16n = (2 * 8 + 8n * 8) + 6 40 + 16n = (16 + 64n) + 6 Reorder the terms: 40 + 16n = 16 + 6 + 64n Combine like terms: 16 + 6 = 22 40 + 16n = 22 + 64n Solving 40 + 16n = 22 + 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. 40 + 16n + -64n = 22 + 64n + -64n Combine like terms: 16n + -64n = -48n 40 + -48n = 22 + 64n + -64n Combine like terms: 64n + -64n = 0 40 + -48n = 22 + 0 40 + -48n = 22 Add '-40' to each side of the equation. 40 + -40 + -48n = 22 + -40 Combine like terms: 40 + -40 = 0 0 + -48n = 22 + -40 -48n = 22 + -40 Combine like terms: 22 + -40 = -18 -48n = -18 Divide each side by '-48'. n = 0.375 Simplifying n = 0.375
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