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Simplifying -8n + 39 = 3(3n + -4) Reorder the terms: 39 + -8n = 3(3n + -4) Reorder the terms: 39 + -8n = 3(-4 + 3n) 39 + -8n = (-4 * 3 + 3n * 3) 39 + -8n = (-12 + 9n) Solving 39 + -8n = -12 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 39 + -8n + -9n = -12 + 9n + -9n Combine like terms: -8n + -9n = -17n 39 + -17n = -12 + 9n + -9n Combine like terms: 9n + -9n = 0 39 + -17n = -12 + 0 39 + -17n = -12 Add '-39' to each side of the equation. 39 + -39 + -17n = -12 + -39 Combine like terms: 39 + -39 = 0 0 + -17n = -12 + -39 -17n = -12 + -39 Combine like terms: -12 + -39 = -51 -17n = -51 Divide each side by '-17'. n = 3 Simplifying n = 3
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