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Simplifying 6(4n + 6) + -6(-5 + -2n) = -6 Reorder the terms: 6(6 + 4n) + -6(-5 + -2n) = -6 (6 * 6 + 4n * 6) + -6(-5 + -2n) = -6 (36 + 24n) + -6(-5 + -2n) = -6 36 + 24n + (-5 * -6 + -2n * -6) = -6 36 + 24n + (30 + 12n) = -6 Reorder the terms: 36 + 30 + 24n + 12n = -6 Combine like terms: 36 + 30 = 66 66 + 24n + 12n = -6 Combine like terms: 24n + 12n = 36n 66 + 36n = -6 Solving 66 + 36n = -6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 36n = -6 + -66 Combine like terms: 66 + -66 = 0 0 + 36n = -6 + -66 36n = -6 + -66 Combine like terms: -6 + -66 = -72 36n = -72 Divide each side by '36'. n = -2 Simplifying n = -2
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