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Simplifying 11 + 10n = -9n + 19 + 18n Reorder the terms: 11 + 10n = 19 + -9n + 18n Combine like terms: -9n + 18n = 9n 11 + 10n = 19 + 9n Solving 11 + 10n = 19 + 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. 11 + 10n + -9n = 19 + 9n + -9n Combine like terms: 10n + -9n = 1n 11 + 1n = 19 + 9n + -9n Combine like terms: 9n + -9n = 0 11 + 1n = 19 + 0 11 + 1n = 19 Add '-11' to each side of the equation. 11 + -11 + 1n = 19 + -11 Combine like terms: 11 + -11 = 0 0 + 1n = 19 + -11 1n = 19 + -11 Combine like terms: 19 + -11 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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