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Simplifying 31 + 9n = 11 + -1n Solving 31 + 9n = 11 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 31 + 9n + n = 11 + -1n + n Combine like terms: 9n + n = 10n 31 + 10n = 11 + -1n + n Combine like terms: -1n + n = 0 31 + 10n = 11 + 0 31 + 10n = 11 Add '-31' to each side of the equation. 31 + -31 + 10n = 11 + -31 Combine like terms: 31 + -31 = 0 0 + 10n = 11 + -31 10n = 11 + -31 Combine like terms: 11 + -31 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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