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Simplifying -6(n + -4) + 4(n + 1) = 0 Reorder the terms: -6(-4 + n) + 4(n + 1) = 0 (-4 * -6 + n * -6) + 4(n + 1) = 0 (24 + -6n) + 4(n + 1) = 0 Reorder the terms: 24 + -6n + 4(1 + n) = 0 24 + -6n + (1 * 4 + n * 4) = 0 24 + -6n + (4 + 4n) = 0 Reorder the terms: 24 + 4 + -6n + 4n = 0 Combine like terms: 24 + 4 = 28 28 + -6n + 4n = 0 Combine like terms: -6n + 4n = -2n 28 + -2n = 0 Solving 28 + -2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -2n = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -2n = 0 + -28 -2n = 0 + -28 Combine like terms: 0 + -28 = -28 -2n = -28 Divide each side by '-2'. n = 14 Simplifying n = 14
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