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Simplifying 3 + 14n + -1 = 9n + 22 + -5n Reorder the terms: 3 + -1 + 14n = 9n + 22 + -5n Combine like terms: 3 + -1 = 2 2 + 14n = 9n + 22 + -5n Reorder the terms: 2 + 14n = 22 + 9n + -5n Combine like terms: 9n + -5n = 4n 2 + 14n = 22 + 4n Solving 2 + 14n = 22 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 2 + 14n + -4n = 22 + 4n + -4n Combine like terms: 14n + -4n = 10n 2 + 10n = 22 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 10n = 22 + 0 2 + 10n = 22 Add '-2' to each side of the equation. 2 + -2 + 10n = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 10n = 22 + -2 10n = 22 + -2 Combine like terms: 22 + -2 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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