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Simplifying 11n + 2(5n + -13) = -17 + 20n + -20 Reorder the terms: 11n + 2(-13 + 5n) = -17 + 20n + -20 11n + (-13 * 2 + 5n * 2) = -17 + 20n + -20 11n + (-26 + 10n) = -17 + 20n + -20 Reorder the terms: -26 + 11n + 10n = -17 + 20n + -20 Combine like terms: 11n + 10n = 21n -26 + 21n = -17 + 20n + -20 Reorder the terms: -26 + 21n = -17 + -20 + 20n Combine like terms: -17 + -20 = -37 -26 + 21n = -37 + 20n Solving -26 + 21n = -37 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -26 + 21n + -20n = -37 + 20n + -20n Combine like terms: 21n + -20n = 1n -26 + 1n = -37 + 20n + -20n Combine like terms: 20n + -20n = 0 -26 + 1n = -37 + 0 -26 + 1n = -37 Add '26' to each side of the equation. -26 + 26 + 1n = -37 + 26 Combine like terms: -26 + 26 = 0 0 + 1n = -37 + 26 1n = -37 + 26 Combine like terms: -37 + 26 = -11 1n = -11 Divide each side by '1'. n = -11 Simplifying n = -11
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