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Simplifying 8n + 39 = 12n + -9 Reorder the terms: 39 + 8n = 12n + -9 Reorder the terms: 39 + 8n = -9 + 12n Solving 39 + 8n = -9 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 39 + 8n + -12n = -9 + 12n + -12n Combine like terms: 8n + -12n = -4n 39 + -4n = -9 + 12n + -12n Combine like terms: 12n + -12n = 0 39 + -4n = -9 + 0 39 + -4n = -9 Add '-39' to each side of the equation. 39 + -39 + -4n = -9 + -39 Combine like terms: 39 + -39 = 0 0 + -4n = -9 + -39 -4n = -9 + -39 Combine like terms: -9 + -39 = -48 -4n = -48 Divide each side by '-4'. n = 12 Simplifying n = 12
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