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Simplifying (2n + -8)(-2) = -24 Reorder the terms: (-8 + 2n)(-2) = -24 Reorder the terms for easier multiplication: -2(-8 + 2n) = -24 (-8 * -2 + 2n * -2) = -24 (16 + -4n) = -24 Solving 16 + -4n = -24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4n = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -4n = -24 + -16 -4n = -24 + -16 Combine like terms: -24 + -16 = -40 -4n = -40 Divide each side by '-4'. n = 10 Simplifying n = 10
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