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Simplifying 5n + 6 = 30 + -3n Reorder the terms: 6 + 5n = 30 + -3n Solving 6 + 5n = 30 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 6 + 5n + 3n = 30 + -3n + 3n Combine like terms: 5n + 3n = 8n 6 + 8n = 30 + -3n + 3n Combine like terms: -3n + 3n = 0 6 + 8n = 30 + 0 6 + 8n = 30 Add '-6' to each side of the equation. 6 + -6 + 8n = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 8n = 30 + -6 8n = 30 + -6 Combine like terms: 30 + -6 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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