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Simplifying 4(n + 4) + -1(4 + -2n) = 5n Reorder the terms: 4(4 + n) + -1(4 + -2n) = 5n (4 * 4 + n * 4) + -1(4 + -2n) = 5n (16 + 4n) + -1(4 + -2n) = 5n 16 + 4n + (4 * -1 + -2n * -1) = 5n 16 + 4n + (-4 + 2n) = 5n Reorder the terms: 16 + -4 + 4n + 2n = 5n Combine like terms: 16 + -4 = 12 12 + 4n + 2n = 5n Combine like terms: 4n + 2n = 6n 12 + 6n = 5n Solving 12 + 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. 12 + 6n + -5n = 5n + -5n Combine like terms: 6n + -5n = 1n 12 + 1n = 5n + -5n Combine like terms: 5n + -5n = 0 12 + 1n = 0 Add '-12' to each side of the equation. 12 + -12 + 1n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 0 + -12 1n = 0 + -12 Combine like terms: 0 + -12 = -12 1n = -12 Divide each side by '1'. n = -12 Simplifying n = -12
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