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Simplifying 12n + 5 = 4n + 33 Reorder the terms: 5 + 12n = 4n + 33 Reorder the terms: 5 + 12n = 33 + 4n Solving 5 + 12n = 33 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5 + 12n + -4n = 33 + 4n + -4n Combine like terms: 12n + -4n = 8n 5 + 8n = 33 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + 8n = 33 + 0 5 + 8n = 33 Add '-5' to each side of the equation. 5 + -5 + 8n = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 8n = 33 + -5 8n = 33 + -5 Combine like terms: 33 + -5 = 28 8n = 28 Divide each side by '8'. n = 3.5 Simplifying n = 3.5
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