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Simplifying 3 + 14n + -2 = 6n + 21 + -2n Reorder the terms: 3 + -2 + 14n = 6n + 21 + -2n Combine like terms: 3 + -2 = 1 1 + 14n = 6n + 21 + -2n Reorder the terms: 1 + 14n = 21 + 6n + -2n Combine like terms: 6n + -2n = 4n 1 + 14n = 21 + 4n Solving 1 + 14n = 21 + 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. 1 + 14n + -4n = 21 + 4n + -4n Combine like terms: 14n + -4n = 10n 1 + 10n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + 10n = 21 + 0 1 + 10n = 21 Add '-1' to each side of the equation. 1 + -1 + 10n = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 10n = 21 + -1 10n = 21 + -1 Combine like terms: 21 + -1 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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