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Simplifying -5(10 + -4n) = 12n + -50 (10 * -5 + -4n * -5) = 12n + -50 (-50 + 20n) = 12n + -50 Reorder the terms: -50 + 20n = -50 + 12n Add '50' to each side of the equation. -50 + 50 + 20n = -50 + 50 + 12n Combine like terms: -50 + 50 = 0 0 + 20n = -50 + 50 + 12n 20n = -50 + 50 + 12n Combine like terms: -50 + 50 = 0 20n = 0 + 12n 20n = 12n Solving 20n = 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. 20n + -12n = 12n + -12n Combine like terms: 20n + -12n = 8n 8n = 12n + -12n Combine like terms: 12n + -12n = 0 8n = 0 Divide each side by '8'. n = 0 Simplifying n = 0
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