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Simplifying -6(n + 12) = -42 Reorder the terms: -6(12 + n) = -42 (12 * -6 + n * -6) = -42 (-72 + -6n) = -42 Solving -72 + -6n = -42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -6n = -42 + 72 Combine like terms: -72 + 72 = 0 0 + -6n = -42 + 72 -6n = -42 + 72 Combine like terms: -42 + 72 = 30 -6n = 30 Divide each side by '-6'. n = -5 Simplifying n = -5
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