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Simplifying 12 + 8n = 4(5n + -6) Reorder the terms: 12 + 8n = 4(-6 + 5n) 12 + 8n = (-6 * 4 + 5n * 4) 12 + 8n = (-24 + 20n) Solving 12 + 8n = -24 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 12 + 8n + -20n = -24 + 20n + -20n Combine like terms: 8n + -20n = -12n 12 + -12n = -24 + 20n + -20n Combine like terms: 20n + -20n = 0 12 + -12n = -24 + 0 12 + -12n = -24 Add '-12' to each side of the equation. 12 + -12 + -12n = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -12n = -24 + -12 -12n = -24 + -12 Combine like terms: -24 + -12 = -36 -12n = -36 Divide each side by '-12'. n = 3 Simplifying n = 3
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