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Simplifying -1(1 + -10n) = 11(n + 4) + -6n (1 * -1 + -10n * -1) = 11(n + 4) + -6n (-1 + 10n) = 11(n + 4) + -6n Reorder the terms: -1 + 10n = 11(4 + n) + -6n -1 + 10n = (4 * 11 + n * 11) + -6n -1 + 10n = (44 + 11n) + -6n Combine like terms: 11n + -6n = 5n -1 + 10n = 44 + 5n Solving -1 + 10n = 44 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -1 + 10n + -5n = 44 + 5n + -5n Combine like terms: 10n + -5n = 5n -1 + 5n = 44 + 5n + -5n Combine like terms: 5n + -5n = 0 -1 + 5n = 44 + 0 -1 + 5n = 44 Add '1' to each side of the equation. -1 + 1 + 5n = 44 + 1 Combine like terms: -1 + 1 = 0 0 + 5n = 44 + 1 5n = 44 + 1 Combine like terms: 44 + 1 = 45 5n = 45 Divide each side by '5'. n = 9 Simplifying n = 9
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