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Simplifying 14 + 3n = 8n + 3(n + -4) Reorder the terms: 14 + 3n = 8n + 3(-4 + n) 14 + 3n = 8n + (-4 * 3 + n * 3) 14 + 3n = 8n + (-12 + 3n) Reorder the terms: 14 + 3n = -12 + 8n + 3n Combine like terms: 8n + 3n = 11n 14 + 3n = -12 + 11n Solving 14 + 3n = -12 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 14 + 3n + -11n = -12 + 11n + -11n Combine like terms: 3n + -11n = -8n 14 + -8n = -12 + 11n + -11n Combine like terms: 11n + -11n = 0 14 + -8n = -12 + 0 14 + -8n = -12 Add '-14' to each side of the equation. 14 + -14 + -8n = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -8n = -12 + -14 -8n = -12 + -14 Combine like terms: -12 + -14 = -26 -8n = -26 Divide each side by '-8'. n = 3.25 Simplifying n = 3.25
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