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Simplifying -12 + -6n = 5(-4n + 6) Reorder the terms: -12 + -6n = 5(6 + -4n) -12 + -6n = (6 * 5 + -4n * 5) -12 + -6n = (30 + -20n) Solving -12 + -6n = 30 + -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 + -6n + 20n = 30 + -20n + 20n Combine like terms: -6n + 20n = 14n -12 + 14n = 30 + -20n + 20n Combine like terms: -20n + 20n = 0 -12 + 14n = 30 + 0 -12 + 14n = 30 Add '12' to each side of the equation. -12 + 12 + 14n = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 14n = 30 + 12 14n = 30 + 12 Combine like terms: 30 + 12 = 42 14n = 42 Divide each side by '14'. n = 3 Simplifying n = 3
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