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Simplifying 4(2n + 3) = 6(5n + 1) + 8 Reorder the terms: 4(3 + 2n) = 6(5n + 1) + 8 (3 * 4 + 2n * 4) = 6(5n + 1) + 8 (12 + 8n) = 6(5n + 1) + 8 Reorder the terms: 12 + 8n = 6(1 + 5n) + 8 12 + 8n = (1 * 6 + 5n * 6) + 8 12 + 8n = (6 + 30n) + 8 Reorder the terms: 12 + 8n = 6 + 8 + 30n Combine like terms: 6 + 8 = 14 12 + 8n = 14 + 30n Solving 12 + 8n = 14 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 12 + 8n + -30n = 14 + 30n + -30n Combine like terms: 8n + -30n = -22n 12 + -22n = 14 + 30n + -30n Combine like terms: 30n + -30n = 0 12 + -22n = 14 + 0 12 + -22n = 14 Add '-12' to each side of the equation. 12 + -12 + -22n = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -22n = 14 + -12 -22n = 14 + -12 Combine like terms: 14 + -12 = 2 -22n = 2 Divide each side by '-22'. n = -0.09090909091 Simplifying n = -0.09090909091
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