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Simplifying -6n + 8(-4 + -3n) = -182 -6n + (-4 * 8 + -3n * 8) = -182 -6n + (-32 + -24n) = -182 Reorder the terms: -32 + -6n + -24n = -182 Combine like terms: -6n + -24n = -30n -32 + -30n = -182 Solving -32 + -30n = -182 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -30n = -182 + 32 Combine like terms: -32 + 32 = 0 0 + -30n = -182 + 32 -30n = -182 + 32 Combine like terms: -182 + 32 = -150 -30n = -150 Divide each side by '-30'. n = 5 Simplifying n = 5
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