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Simplifying -6(5n + -6) = -11n + -40 Reorder the terms: -6(-6 + 5n) = -11n + -40 (-6 * -6 + 5n * -6) = -11n + -40 (36 + -30n) = -11n + -40 Reorder the terms: 36 + -30n = -40 + -11n Solving 36 + -30n = -40 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. 36 + -30n + 11n = -40 + -11n + 11n Combine like terms: -30n + 11n = -19n 36 + -19n = -40 + -11n + 11n Combine like terms: -11n + 11n = 0 36 + -19n = -40 + 0 36 + -19n = -40 Add '-36' to each side of the equation. 36 + -36 + -19n = -40 + -36 Combine like terms: 36 + -36 = 0 0 + -19n = -40 + -36 -19n = -40 + -36 Combine like terms: -40 + -36 = -76 -19n = -76 Divide each side by '-19'. n = 4 Simplifying n = 4
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