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Simplifying 6n + -6(-2 + -6n) = -72 6n + (-2 * -6 + -6n * -6) = -72 6n + (12 + 36n) = -72 Reorder the terms: 12 + 6n + 36n = -72 Combine like terms: 6n + 36n = 42n 12 + 42n = -72 Solving 12 + 42n = -72 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 42n = -72 + -12 Combine like terms: 12 + -12 = 0 0 + 42n = -72 + -12 42n = -72 + -12 Combine like terms: -72 + -12 = -84 42n = -84 Divide each side by '42'. n = -2 Simplifying n = -2
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