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Simplifying 2(n + -5) + -1(4 + -3n) = 4n Reorder the terms: 2(-5 + n) + -1(4 + -3n) = 4n (-5 * 2 + n * 2) + -1(4 + -3n) = 4n (-10 + 2n) + -1(4 + -3n) = 4n -10 + 2n + (4 * -1 + -3n * -1) = 4n -10 + 2n + (-4 + 3n) = 4n Reorder the terms: -10 + -4 + 2n + 3n = 4n Combine like terms: -10 + -4 = -14 -14 + 2n + 3n = 4n Combine like terms: 2n + 3n = 5n -14 + 5n = 4n Solving -14 + 5n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -14 + 5n + -4n = 4n + -4n Combine like terms: 5n + -4n = 1n -14 + 1n = 4n + -4n Combine like terms: 4n + -4n = 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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