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Simplifying -82 = -6(-3n + 4) + -4 Reorder the terms: -82 = -6(4 + -3n) + -4 -82 = (4 * -6 + -3n * -6) + -4 -82 = (-24 + 18n) + -4 Reorder the terms: -82 = -24 + -4 + 18n Combine like terms: -24 + -4 = -28 -82 = -28 + 18n Solving -82 = -28 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -82 + -18n = -28 + 18n + -18n Combine like terms: 18n + -18n = 0 -82 + -18n = -28 + 0 -82 + -18n = -28 Add '82' to each side of the equation. -82 + 82 + -18n = -28 + 82 Combine like terms: -82 + 82 = 0 0 + -18n = -28 + 82 -18n = -28 + 82 Combine like terms: -28 + 82 = 54 -18n = 54 Divide each side by '-18'. n = -3 Simplifying n = -3
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