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Simplifying [n + 8] + [n + -12] = 0 Reorder the terms: [8 + n] + [n + -12] = 0 Remove brackets around [8 + n] 8 + n + [n + -12] = 0 Reorder the terms: 8 + n + [-12 + n] = 0 Remove brackets around [-12 + n] 8 + n + -12 + n = 0 Reorder the terms: 8 + -12 + n + n = 0 Combine like terms: 8 + -12 = -4 -4 + n + n = 0 Combine like terms: n + n = 2n -4 + 2n = 0 Solving -4 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = 0 + 4 2n = 0 + 4 Combine like terms: 0 + 4 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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