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Simplifying -4(3n + 8) + 2n = -82 Reorder the terms: -4(8 + 3n) + 2n = -82 (8 * -4 + 3n * -4) + 2n = -82 (-32 + -12n) + 2n = -82 Combine like terms: -12n + 2n = -10n -32 + -10n = -82 Solving -32 + -10n = -82 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 + -10n = -82 + 32 Combine like terms: -32 + 32 = 0 0 + -10n = -82 + 32 -10n = -82 + 32 Combine like terms: -82 + 32 = -50 -10n = -50 Divide each side by '-10'. n = 5 Simplifying n = 5
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