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Simplifying 3(n + -3) + -1(5 + -4n) = 6n Reorder the terms: 3(-3 + n) + -1(5 + -4n) = 6n (-3 * 3 + n * 3) + -1(5 + -4n) = 6n (-9 + 3n) + -1(5 + -4n) = 6n -9 + 3n + (5 * -1 + -4n * -1) = 6n -9 + 3n + (-5 + 4n) = 6n Reorder the terms: -9 + -5 + 3n + 4n = 6n Combine like terms: -9 + -5 = -14 -14 + 3n + 4n = 6n Combine like terms: 3n + 4n = 7n -14 + 7n = 6n Solving -14 + 7n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -14 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n -14 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 -14 + 1n = 0 Add '14' to each side of the equation. -14 + 14 + 1n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = 0 + 14 1n = 0 + 14 Combine like terms: 0 + 14 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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