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Simplifying 2(n + -7) + -1(5 + -4n) = 5n Reorder the terms: 2(-7 + n) + -1(5 + -4n) = 5n (-7 * 2 + n * 2) + -1(5 + -4n) = 5n (-14 + 2n) + -1(5 + -4n) = 5n -14 + 2n + (5 * -1 + -4n * -1) = 5n -14 + 2n + (-5 + 4n) = 5n Reorder the terms: -14 + -5 + 2n + 4n = 5n Combine like terms: -14 + -5 = -19 -19 + 2n + 4n = 5n Combine like terms: 2n + 4n = 6n -19 + 6n = 5n Solving -19 + 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. -19 + 6n + -5n = 5n + -5n Combine like terms: 6n + -5n = 1n -19 + 1n = 5n + -5n Combine like terms: 5n + -5n = 0 -19 + 1n = 0 Add '19' to each side of the equation. -19 + 19 + 1n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1n = 0 + 19 1n = 0 + 19 Combine like terms: 0 + 19 = 19 1n = 19 Divide each side by '1'. n = 19 Simplifying n = 19
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