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Simplifying -5n + 12 + 13n = 12(3) + 4n + -3 Reorder the terms: 12 + -5n + 13n = 12(3) + 4n + -3 Combine like terms: -5n + 13n = 8n 12 + 8n = 12(3) + 4n + -3 Multiply 12 * 3 12 + 8n = 36 + 4n + -3 Reorder the terms: 12 + 8n = 36 + -3 + 4n Combine like terms: 36 + -3 = 33 12 + 8n = 33 + 4n Solving 12 + 8n = 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. 12 + 8n + -4n = 33 + 4n + -4n Combine like terms: 8n + -4n = 4n 12 + 4n = 33 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + 4n = 33 + 0 12 + 4n = 33 Add '-12' to each side of the equation. 12 + -12 + 4n = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = 33 + -12 4n = 33 + -12 Combine like terms: 33 + -12 = 21 4n = 21 Divide each side by '4'. n = 5.25 Simplifying n = 5.25
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