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Simplifying 2(n + -3) + -1(5 + -4n) = 5n Reorder the terms: 2(-3 + n) + -1(5 + -4n) = 5n (-3 * 2 + n * 2) + -1(5 + -4n) = 5n (-6 + 2n) + -1(5 + -4n) = 5n -6 + 2n + (5 * -1 + -4n * -1) = 5n -6 + 2n + (-5 + 4n) = 5n Reorder the terms: -6 + -5 + 2n + 4n = 5n Combine like terms: -6 + -5 = -11 -11 + 2n + 4n = 5n Combine like terms: 2n + 4n = 6n -11 + 6n = 5n Solving -11 + 6n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -11 + 6n + -5n = 5n + -5n Combine like terms: 6n + -5n = 1n -11 + 1n = 5n + -5n Combine like terms: 5n + -5n = 0 -11 + 1n = 0 Add '11' to each side of the equation. -11 + 11 + 1n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1n = 0 + 11 1n = 0 + 11 Combine like terms: 0 + 11 = 11 1n = 11 Divide each side by '1'. n = 11 Simplifying n = 11
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