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Simplifying 9n + -11n = 2(10n + 4) + -5(4n + -6) Combine like terms: 9n + -11n = -2n -2n = 2(10n + 4) + -5(4n + -6) Reorder the terms: -2n = 2(4 + 10n) + -5(4n + -6) -2n = (4 * 2 + 10n * 2) + -5(4n + -6) -2n = (8 + 20n) + -5(4n + -6) Reorder the terms: -2n = 8 + 20n + -5(-6 + 4n) -2n = 8 + 20n + (-6 * -5 + 4n * -5) -2n = 8 + 20n + (30 + -20n) Reorder the terms: -2n = 8 + 30 + 20n + -20n Combine like terms: 8 + 30 = 38 -2n = 38 + 20n + -20n Combine like terms: 20n + -20n = 0 -2n = 38 + 0 -2n = 38 Solving -2n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-2'. n = -19 Simplifying n = -19
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