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Simplifying -8(2n + -4) * 9x = 0 Reorder the terms: -8(-4 + 2n) * 9x = 0 Reorder the terms for easier multiplication: -8 * 9x(-4 + 2n) = 0 Multiply -8 * 9 -72x(-4 + 2n) = 0 (-4 * -72x + 2n * -72x) = 0 Reorder the terms: (-144nx + 288x) = 0 (-144nx + 288x) = 0 Solving -144nx + 288x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-288x' to each side of the equation. -144nx + 288x + -288x = 0 + -288x Combine like terms: 288x + -288x = 0 -144nx + 0 = 0 + -288x -144nx = 0 + -288x Remove the zero: -144nx = -288x Divide each side by '-144x'. n = 2 Simplifying n = 2
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