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Simplifying 5(3n + 1) = 6(8n + 5) + 8 Reorder the terms: 5(1 + 3n) = 6(8n + 5) + 8 (1 * 5 + 3n * 5) = 6(8n + 5) + 8 (5 + 15n) = 6(8n + 5) + 8 Reorder the terms: 5 + 15n = 6(5 + 8n) + 8 5 + 15n = (5 * 6 + 8n * 6) + 8 5 + 15n = (30 + 48n) + 8 Reorder the terms: 5 + 15n = 30 + 8 + 48n Combine like terms: 30 + 8 = 38 5 + 15n = 38 + 48n Solving 5 + 15n = 38 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 5 + 15n + -48n = 38 + 48n + -48n Combine like terms: 15n + -48n = -33n 5 + -33n = 38 + 48n + -48n Combine like terms: 48n + -48n = 0 5 + -33n = 38 + 0 5 + -33n = 38 Add '-5' to each side of the equation. 5 + -5 + -33n = 38 + -5 Combine like terms: 5 + -5 = 0 0 + -33n = 38 + -5 -33n = 38 + -5 Combine like terms: 38 + -5 = 33 -33n = 33 Divide each side by '-33'. n = -1 Simplifying n = -1
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