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Simplifying 8 + 3n = 8n + 3(n + -2) Reorder the terms: 8 + 3n = 8n + 3(-2 + n) 8 + 3n = 8n + (-2 * 3 + n * 3) 8 + 3n = 8n + (-6 + 3n) Reorder the terms: 8 + 3n = -6 + 8n + 3n Combine like terms: 8n + 3n = 11n 8 + 3n = -6 + 11n Solving 8 + 3n = -6 + 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. 8 + 3n + -11n = -6 + 11n + -11n Combine like terms: 3n + -11n = -8n 8 + -8n = -6 + 11n + -11n Combine like terms: 11n + -11n = 0 8 + -8n = -6 + 0 8 + -8n = -6 Add '-8' to each side of the equation. 8 + -8 + -8n = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -8n = -6 + -8 -8n = -6 + -8 Combine like terms: -6 + -8 = -14 -8n = -14 Divide each side by '-8'. n = 1.75 Simplifying n = 1.75
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