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Simplifying 4n + -4(6n + -1) = -96 Reorder the terms: 4n + -4(-1 + 6n) = -96 4n + (-1 * -4 + 6n * -4) = -96 4n + (4 + -24n) = -96 Reorder the terms: 4 + 4n + -24n = -96 Combine like terms: 4n + -24n = -20n 4 + -20n = -96 Solving 4 + -20n = -96 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -20n = -96 + -4 Combine like terms: 4 + -4 = 0 0 + -20n = -96 + -4 -20n = -96 + -4 Combine like terms: -96 + -4 = -100 -20n = -100 Divide each side by '-20'. n = 5 Simplifying n = 5
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