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Simplifying 6(n + 3) + -1(1 + -4n) = 9n Reorder the terms: 6(3 + n) + -1(1 + -4n) = 9n (3 * 6 + n * 6) + -1(1 + -4n) = 9n (18 + 6n) + -1(1 + -4n) = 9n 18 + 6n + (1 * -1 + -4n * -1) = 9n 18 + 6n + (-1 + 4n) = 9n Reorder the terms: 18 + -1 + 6n + 4n = 9n Combine like terms: 18 + -1 = 17 17 + 6n + 4n = 9n Combine like terms: 6n + 4n = 10n 17 + 10n = 9n Solving 17 + 10n = 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 17 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n 17 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 17 + 1n = 0 Add '-17' to each side of the equation. 17 + -17 + 1n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1n = 0 + -17 1n = 0 + -17 Combine like terms: 0 + -17 = -17 1n = -17 Divide each side by '1'. n = -17 Simplifying n = -17
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