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Simplifying 3n = 8n + -3(n + -4) Reorder the terms: 3n = 8n + -3(-4 + n) 3n = 8n + (-4 * -3 + n * -3) 3n = 8n + (12 + -3n) Reorder the terms: 3n = 12 + 8n + -3n Combine like terms: 8n + -3n = 5n 3n = 12 + 5n Solving 3n = 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. 3n + -5n = 12 + 5n + -5n Combine like terms: 3n + -5n = -2n -2n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 -2n = 12 + 0 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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