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Simplifying 3n + -6 = 50 + -5n Reorder the terms: -6 + 3n = 50 + -5n Solving -6 + 3n = 50 + -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. -6 + 3n + 5n = 50 + -5n + 5n Combine like terms: 3n + 5n = 8n -6 + 8n = 50 + -5n + 5n Combine like terms: -5n + 5n = 0 -6 + 8n = 50 + 0 -6 + 8n = 50 Add '6' to each side of the equation. -6 + 6 + 8n = 50 + 6 Combine like terms: -6 + 6 = 0 0 + 8n = 50 + 6 8n = 50 + 6 Combine like terms: 50 + 6 = 56 8n = 56 Divide each side by '8'. n = 7 Simplifying n = 7
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