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Simplifying 82 = -2(5n + -6) Reorder the terms: 82 = -2(-6 + 5n) 82 = (-6 * -2 + 5n * -2) 82 = (12 + -10n) Solving 82 = 12 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 82 + 10n = 12 + -10n + 10n Combine like terms: -10n + 10n = 0 82 + 10n = 12 + 0 82 + 10n = 12 Add '-82' to each side of the equation. 82 + -82 + 10n = 12 + -82 Combine like terms: 82 + -82 = 0 0 + 10n = 12 + -82 10n = 12 + -82 Combine like terms: 12 + -82 = -70 10n = -70 Divide each side by '10'. n = -7 Simplifying n = -7
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