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Simplifying 8n + -33 = 5n + 6 Reorder the terms: -33 + 8n = 5n + 6 Reorder the terms: -33 + 8n = 6 + 5n Solving -33 + 8n = 6 + 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. -33 + 8n + -5n = 6 + 5n + -5n Combine like terms: 8n + -5n = 3n -33 + 3n = 6 + 5n + -5n Combine like terms: 5n + -5n = 0 -33 + 3n = 6 + 0 -33 + 3n = 6 Add '33' to each side of the equation. -33 + 33 + 3n = 6 + 33 Combine like terms: -33 + 33 = 0 0 + 3n = 6 + 33 3n = 6 + 33 Combine like terms: 6 + 33 = 39 3n = 39 Divide each side by '3'. n = 13 Simplifying n = 13
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