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Simplifying 8n + 14 = 4n + 6n Reorder the terms: 14 + 8n = 4n + 6n Combine like terms: 4n + 6n = 10n 14 + 8n = 10n Solving 14 + 8n = 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. 14 + 8n + -10n = 10n + -10n Combine like terms: 8n + -10n = -2n 14 + -2n = 10n + -10n Combine like terms: 10n + -10n = 0 14 + -2n = 0 Add '-14' to each side of the equation. 14 + -14 + -2n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = 0 + -14 -2n = 0 + -14 Combine like terms: 0 + -14 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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