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