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Simplifying 39 + -8n = -5 + 4(-3n + 8) Reorder the terms: 39 + -8n = -5 + 4(8 + -3n) 39 + -8n = -5 + (8 * 4 + -3n * 4) 39 + -8n = -5 + (32 + -12n) Combine like terms: -5 + 32 = 27 39 + -8n = 27 + -12n Solving 39 + -8n = 27 + -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 = 27 + -12n + 12n Combine like terms: -8n + 12n = 4n 39 + 4n = 27 + -12n + 12n Combine like terms: -12n + 12n = 0 39 + 4n = 27 + 0 39 + 4n = 27 Add '-39' to each side of the equation. 39 + -39 + 4n = 27 + -39 Combine like terms: 39 + -39 = 0 0 + 4n = 27 + -39 4n = 27 + -39 Combine like terms: 27 + -39 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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