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Simplifying 4(2n + 3) = 6(5n + 7) + 9 Reorder the terms: 4(3 + 2n) = 6(5n + 7) + 9 (3 * 4 + 2n * 4) = 6(5n + 7) + 9 (12 + 8n) = 6(5n + 7) + 9 Reorder the terms: 12 + 8n = 6(7 + 5n) + 9 12 + 8n = (7 * 6 + 5n * 6) + 9 12 + 8n = (42 + 30n) + 9 Reorder the terms: 12 + 8n = 42 + 9 + 30n Combine like terms: 42 + 9 = 51 12 + 8n = 51 + 30n Solving 12 + 8n = 51 + 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 = 51 + 30n + -30n Combine like terms: 8n + -30n = -22n 12 + -22n = 51 + 30n + -30n Combine like terms: 30n + -30n = 0 12 + -22n = 51 + 0 12 + -22n = 51 Add '-12' to each side of the equation. 12 + -12 + -22n = 51 + -12 Combine like terms: 12 + -12 = 0 0 + -22n = 51 + -12 -22n = 51 + -12 Combine like terms: 51 + -12 = 39 -22n = 39 Divide each side by '-22'. n = -1.772727273 Simplifying n = -1.772727273
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