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Simplifying 6n + -6 = 8n + 2n + 14 Reorder the terms: -6 + 6n = 8n + 2n + 14 Reorder the terms: -6 + 6n = 14 + 8n + 2n Combine like terms: 8n + 2n = 10n -6 + 6n = 14 + 10n Solving -6 + 6n = 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. -6 + 6n + -10n = 14 + 10n + -10n Combine like terms: 6n + -10n = -4n -6 + -4n = 14 + 10n + -10n Combine like terms: 10n + -10n = 0 -6 + -4n = 14 + 0 -6 + -4n = 14 Add '6' to each side of the equation. -6 + 6 + -4n = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -4n = 14 + 6 -4n = 14 + 6 Combine like terms: 14 + 6 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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