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