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Simplifying 4(n + -6) = 12n Reorder the terms: 4(-6 + n) = 12n (-6 * 4 + n * 4) = 12n (-24 + 4n) = 12n Solving -24 + 4n = 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. -24 + 4n + -12n = 12n + -12n Combine like terms: 4n + -12n = -8n -24 + -8n = 12n + -12n Combine like terms: 12n + -12n = 0 -24 + -8n = 0 Add '24' to each side of the equation. -24 + 24 + -8n = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8n = 0 + 24 -8n = 0 + 24 Combine like terms: 0 + 24 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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