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Simplifying 2(6 + 7n) + 4n = (8 + 8n) (6 * 2 + 7n * 2) + 4n = (8 + 8n) (12 + 14n) + 4n = (8 + 8n) Combine like terms: 14n + 4n = 18n 12 + 18n = (8 + 8n) Remove parenthesis around (8 + 8n) 12 + 18n = 8 + 8n Solving 12 + 18n = 8 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 12 + 18n + -8n = 8 + 8n + -8n Combine like terms: 18n + -8n = 10n 12 + 10n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + 10n = 8 + 0 12 + 10n = 8 Add '-12' to each side of the equation. 12 + -12 + 10n = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 10n = 8 + -12 10n = 8 + -12 Combine like terms: 8 + -12 = -4 10n = -4 Divide each side by '10'. n = -0.4 Simplifying n = -0.4
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