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Simplifying 5(6 + -2n) + -8n = -14 (6 * 5 + -2n * 5) + -8n = -14 (30 + -10n) + -8n = -14 Combine like terms: -10n + -8n = -18n 30 + -18n = -14 Solving 30 + -18n = -14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -18n = -14 + -30 Combine like terms: 30 + -30 = 0 0 + -18n = -14 + -30 -18n = -14 + -30 Combine like terms: -14 + -30 = -44 -18n = -44 Divide each side by '-18'. n = 2.444444444 Simplifying n = 2.444444444
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