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Simplifying -182 = -6(1 + -4n) + -8 -182 = (1 * -6 + -4n * -6) + -8 -182 = (-6 + 24n) + -8 Reorder the terms: -182 = -6 + -8 + 24n Combine like terms: -6 + -8 = -14 -182 = -14 + 24n Solving -182 = -14 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -182 + -24n = -14 + 24n + -24n Combine like terms: 24n + -24n = 0 -182 + -24n = -14 + 0 -182 + -24n = -14 Add '182' to each side of the equation. -182 + 182 + -24n = -14 + 182 Combine like terms: -182 + 182 = 0 0 + -24n = -14 + 182 -24n = -14 + 182 Combine like terms: -14 + 182 = 168 -24n = 168 Divide each side by '-24'. n = -7 Simplifying n = -7
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