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Simplifying -2 + 4(6n + -8) = -82 Reorder the terms: -2 + 4(-8 + 6n) = -82 -2 + (-8 * 4 + 6n * 4) = -82 -2 + (-32 + 24n) = -82 Combine like terms: -2 + -32 = -34 -34 + 24n = -82 Solving -34 + 24n = -82 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 24n = -82 + 34 Combine like terms: -34 + 34 = 0 0 + 24n = -82 + 34 24n = -82 + 34 Combine like terms: -82 + 34 = -48 24n = -48 Divide each side by '24'. n = -2 Simplifying n = -2
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