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