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Simplifying 81 = -5(2n + 1) + 6 Reorder the terms: 81 = -5(1 + 2n) + 6 81 = (1 * -5 + 2n * -5) + 6 81 = (-5 + -10n) + 6 Reorder the terms: 81 = -5 + 6 + -10n Combine like terms: -5 + 6 = 1 81 = 1 + -10n Solving 81 = 1 + -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. 81 + 10n = 1 + -10n + 10n Combine like terms: -10n + 10n = 0 81 + 10n = 1 + 0 81 + 10n = 1 Add '-81' to each side of the equation. 81 + -81 + 10n = 1 + -81 Combine like terms: 81 + -81 = 0 0 + 10n = 1 + -81 10n = 1 + -81 Combine like terms: 1 + -81 = -80 10n = -80 Divide each side by '10'. n = -8 Simplifying n = -8
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