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Simplifying -6(n + -2) + 2(n + 1) = 0 Reorder the terms: -6(-2 + n) + 2(n + 1) = 0 (-2 * -6 + n * -6) + 2(n + 1) = 0 (12 + -6n) + 2(n + 1) = 0 Reorder the terms: 12 + -6n + 2(1 + n) = 0 12 + -6n + (1 * 2 + n * 2) = 0 12 + -6n + (2 + 2n) = 0 Reorder the terms: 12 + 2 + -6n + 2n = 0 Combine like terms: 12 + 2 = 14 14 + -6n + 2n = 0 Combine like terms: -6n + 2n = -4n 14 + -4n = 0 Solving 14 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -4n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = 0 + -14 -4n = 0 + -14 Combine like terms: 0 + -14 = -14 -4n = -14 Divide each side by '-4'. n = 3.5 Simplifying n = 3.5
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