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Simplifying 3n + -4(2n + -5) + n + 4 = 0 Reorder the terms: 3n + -4(-5 + 2n) + n + 4 = 0 3n + (-5 * -4 + 2n * -4) + n + 4 = 0 3n + (20 + -8n) + n + 4 = 0 Reorder the terms: 20 + 4 + 3n + -8n + n = 0 Combine like terms: 20 + 4 = 24 24 + 3n + -8n + n = 0 Combine like terms: 3n + -8n = -5n 24 + -5n + n = 0 Combine like terms: -5n + n = -4n 24 + -4n = 0 Solving 24 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -4n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4n = 0 + -24 -4n = 0 + -24 Combine like terms: 0 + -24 = -24 -4n = -24 Divide each side by '-4'. n = 6 Simplifying n = 6
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