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Simplifying (1 + -4n)(-8) = 0 Reorder the terms for easier multiplication: -8(1 + -4n) = 0 (1 * -8 + -4n * -8) = 0 (-8 + 32n) = 0 Solving -8 + 32n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 32n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 32n = 0 + 8 32n = 0 + 8 Combine like terms: 0 + 8 = 8 32n = 8 Divide each side by '32'. n = 0.25 Simplifying n = 0.25
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