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Simplifying -1(12 + n) + 2(n + 6) = -4n + 2n (12 * -1 + n * -1) + 2(n + 6) = -4n + 2n (-12 + -1n) + 2(n + 6) = -4n + 2n Reorder the terms: -12 + -1n + 2(6 + n) = -4n + 2n -12 + -1n + (6 * 2 + n * 2) = -4n + 2n -12 + -1n + (12 + 2n) = -4n + 2n Reorder the terms: -12 + 12 + -1n + 2n = -4n + 2n Combine like terms: -12 + 12 = 0 0 + -1n + 2n = -4n + 2n -1n + 2n = -4n + 2n Combine like terms: -1n + 2n = 1n 1n = -4n + 2n Combine like terms: -4n + 2n = -2n 1n = -2n Solving 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. 1n + 2n = -2n + 2n Combine like terms: 1n + 2n = 3n 3n = -2n + 2n Combine like terms: -2n + 2n = 0 3n = 0 Divide each side by '3'. n = 0 Simplifying n = 0
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