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Simplifying 14n + 3n = 8n + -3(n + -4) Combine like terms: 14n + 3n = 17n 17n = 8n + -3(n + -4) Reorder the terms: 17n = 8n + -3(-4 + n) 17n = 8n + (-4 * -3 + n * -3) 17n = 8n + (12 + -3n) Reorder the terms: 17n = 12 + 8n + -3n Combine like terms: 8n + -3n = 5n 17n = 12 + 5n Solving 17n = 12 + 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. 17n + -5n = 12 + 5n + -5n Combine like terms: 17n + -5n = 12n 12n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 12n = 12 + 0 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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