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Simplifying -2(7 + -6n) + 2(6n + -7) = -76 (7 * -2 + -6n * -2) + 2(6n + -7) = -76 (-14 + 12n) + 2(6n + -7) = -76 Reorder the terms: -14 + 12n + 2(-7 + 6n) = -76 -14 + 12n + (-7 * 2 + 6n * 2) = -76 -14 + 12n + (-14 + 12n) = -76 Reorder the terms: -14 + -14 + 12n + 12n = -76 Combine like terms: -14 + -14 = -28 -28 + 12n + 12n = -76 Combine like terms: 12n + 12n = 24n -28 + 24n = -76 Solving -28 + 24n = -76 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 24n = -76 + 28 Combine like terms: -28 + 28 = 0 0 + 24n = -76 + 28 24n = -76 + 28 Combine like terms: -76 + 28 = -48 24n = -48 Divide each side by '24'. n = -2 Simplifying n = -2
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