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Simplifying 12n + 13 = 8n + 33 Reorder the terms: 13 + 12n = 8n + 33 Reorder the terms: 13 + 12n = 33 + 8n Solving 13 + 12n = 33 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 13 + 12n + -8n = 33 + 8n + -8n Combine like terms: 12n + -8n = 4n 13 + 4n = 33 + 8n + -8n Combine like terms: 8n + -8n = 0 13 + 4n = 33 + 0 13 + 4n = 33 Add '-13' to each side of the equation. 13 + -13 + 4n = 33 + -13 Combine like terms: 13 + -13 = 0 0 + 4n = 33 + -13 4n = 33 + -13 Combine like terms: 33 + -13 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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