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Simplifying 4(n + 2) + 12 = 3(n + 9) Reorder the terms: 4(2 + n) + 12 = 3(n + 9) (2 * 4 + n * 4) + 12 = 3(n + 9) (8 + 4n) + 12 = 3(n + 9) Reorder the terms: 8 + 12 + 4n = 3(n + 9) Combine like terms: 8 + 12 = 20 20 + 4n = 3(n + 9) Reorder the terms: 20 + 4n = 3(9 + n) 20 + 4n = (9 * 3 + n * 3) 20 + 4n = (27 + 3n) Solving 20 + 4n = 27 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 20 + 4n + -3n = 27 + 3n + -3n Combine like terms: 4n + -3n = 1n 20 + 1n = 27 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + 1n = 27 + 0 20 + 1n = 27 Add '-20' to each side of the equation. 20 + -20 + 1n = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 1n = 27 + -20 1n = 27 + -20 Combine like terms: 27 + -20 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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