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Simplifying 2x(n + 4) = 0 Reorder the terms: 2x(4 + n) = 0 (4 * 2x + n * 2x) = 0 Reorder the terms: (2nx + 8x) = 0 (2nx + 8x) = 0 Solving 2nx + 8x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8x' to each side of the equation. 2nx + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 2nx + 0 = 0 + -8x 2nx = 0 + -8x Remove the zero: 2nx = -8x Divide each side by '2x'. n = -4 Simplifying n = -4
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