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Simplifying 4(6 + 5n) + 3(1 + -1n) = 27 (6 * 4 + 5n * 4) + 3(1 + -1n) = 27 (24 + 20n) + 3(1 + -1n) = 27 24 + 20n + (1 * 3 + -1n * 3) = 27 24 + 20n + (3 + -3n) = 27 Reorder the terms: 24 + 3 + 20n + -3n = 27 Combine like terms: 24 + 3 = 27 27 + 20n + -3n = 27 Combine like terms: 20n + -3n = 17n 27 + 17n = 27 Add '-27' to each side of the equation. 27 + -27 + 17n = 27 + -27 Combine like terms: 27 + -27 = 0 0 + 17n = 27 + -27 17n = 27 + -27 Combine like terms: 27 + -27 = 0 17n = 0 Solving 17n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '17'. n = 0 Simplifying n = 0
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