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Simplifying 3n + 2(4n + -5) + -7 + n = 0 Reorder the terms: 3n + 2(-5 + 4n) + -7 + n = 0 3n + (-5 * 2 + 4n * 2) + -7 + n = 0 3n + (-10 + 8n) + -7 + n = 0 Reorder the terms: -10 + -7 + 3n + 8n + n = 0 Combine like terms: -10 + -7 = -17 -17 + 3n + 8n + n = 0 Combine like terms: 3n + 8n = 11n -17 + 11n + n = 0 Combine like terms: 11n + n = 12n -17 + 12n = 0 Solving -17 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 12n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 12n = 0 + 17 12n = 0 + 17 Combine like terms: 0 + 17 = 17 12n = 17 Divide each side by '12'. n = 1.416666667 Simplifying n = 1.416666667
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