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Simplifying 1 + -4n + 7 = 14 + -8n + -2n Reorder the terms: 1 + 7 + -4n = 14 + -8n + -2n Combine like terms: 1 + 7 = 8 8 + -4n = 14 + -8n + -2n Combine like terms: -8n + -2n = -10n 8 + -4n = 14 + -10n Solving 8 + -4n = 14 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 8 + -4n + 10n = 14 + -10n + 10n Combine like terms: -4n + 10n = 6n 8 + 6n = 14 + -10n + 10n Combine like terms: -10n + 10n = 0 8 + 6n = 14 + 0 8 + 6n = 14 Add '-8' to each side of the equation. 8 + -8 + 6n = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 6n = 14 + -8 6n = 14 + -8 Combine like terms: 14 + -8 = 6 6n = 6 Divide each side by '6'. n = 1 Simplifying n = 1
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