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Simplifying 5(2n + 3) = 8(8n + 2) + 6 Reorder the terms: 5(3 + 2n) = 8(8n + 2) + 6 (3 * 5 + 2n * 5) = 8(8n + 2) + 6 (15 + 10n) = 8(8n + 2) + 6 Reorder the terms: 15 + 10n = 8(2 + 8n) + 6 15 + 10n = (2 * 8 + 8n * 8) + 6 15 + 10n = (16 + 64n) + 6 Reorder the terms: 15 + 10n = 16 + 6 + 64n Combine like terms: 16 + 6 = 22 15 + 10n = 22 + 64n Solving 15 + 10n = 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. 15 + 10n + -64n = 22 + 64n + -64n Combine like terms: 10n + -64n = -54n 15 + -54n = 22 + 64n + -64n Combine like terms: 64n + -64n = 0 15 + -54n = 22 + 0 15 + -54n = 22 Add '-15' to each side of the equation. 15 + -15 + -54n = 22 + -15 Combine like terms: 15 + -15 = 0 0 + -54n = 22 + -15 -54n = 22 + -15 Combine like terms: 22 + -15 = 7 -54n = 7 Divide each side by '-54'. n = -0.1296296296 Simplifying n = -0.1296296296
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