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Simplifying 4(2n + 1) = 6(5n + 3) + 8 Reorder the terms: 4(1 + 2n) = 6(5n + 3) + 8 (1 * 4 + 2n * 4) = 6(5n + 3) + 8 (4 + 8n) = 6(5n + 3) + 8 Reorder the terms: 4 + 8n = 6(3 + 5n) + 8 4 + 8n = (3 * 6 + 5n * 6) + 8 4 + 8n = (18 + 30n) + 8 Reorder the terms: 4 + 8n = 18 + 8 + 30n Combine like terms: 18 + 8 = 26 4 + 8n = 26 + 30n Solving 4 + 8n = 26 + 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. 4 + 8n + -30n = 26 + 30n + -30n Combine like terms: 8n + -30n = -22n 4 + -22n = 26 + 30n + -30n Combine like terms: 30n + -30n = 0 4 + -22n = 26 + 0 4 + -22n = 26 Add '-4' to each side of the equation. 4 + -4 + -22n = 26 + -4 Combine like terms: 4 + -4 = 0 0 + -22n = 26 + -4 -22n = 26 + -4 Combine like terms: 26 + -4 = 22 -22n = 22 Divide each side by '-22'. n = -1 Simplifying n = -1
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