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Simplifying 10(n + 8) + 1 = 9n Reorder the terms: 10(8 + n) + 1 = 9n (8 * 10 + n * 10) + 1 = 9n (80 + 10n) + 1 = 9n Reorder the terms: 80 + 1 + 10n = 9n Combine like terms: 80 + 1 = 81 81 + 10n = 9n Solving 81 + 10n = 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 81 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n 81 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 81 + 1n = 0 Add '-81' to each side of the equation. 81 + -81 + 1n = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 1n = 0 + -81 1n = 0 + -81 Combine like terms: 0 + -81 = -81 1n = -81 Divide each side by '1'. n = -81 Simplifying n = -81
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