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Simplifying 6(n + -3) + -1(5 + -4n) = 9n Reorder the terms: 6(-3 + n) + -1(5 + -4n) = 9n (-3 * 6 + n * 6) + -1(5 + -4n) = 9n (-18 + 6n) + -1(5 + -4n) = 9n -18 + 6n + (5 * -1 + -4n * -1) = 9n -18 + 6n + (-5 + 4n) = 9n Reorder the terms: -18 + -5 + 6n + 4n = 9n Combine like terms: -18 + -5 = -23 -23 + 6n + 4n = 9n Combine like terms: 6n + 4n = 10n -23 + 10n = 9n Solving -23 + 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. -23 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -23 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -23 + 1n = 0 Add '23' to each side of the equation. -23 + 23 + 1n = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1n = 0 + 23 1n = 0 + 23 Combine like terms: 0 + 23 = 23 1n = 23 Divide each side by '1'. n = 23 Simplifying n = 23
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