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Simplifying -13(n + 20) = 11n + 38 Reorder the terms: -13(20 + n) = 11n + 38 (20 * -13 + n * -13) = 11n + 38 (-260 + -13n) = 11n + 38 Reorder the terms: -260 + -13n = 38 + 11n Solving -260 + -13n = 38 + 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. -260 + -13n + -11n = 38 + 11n + -11n Combine like terms: -13n + -11n = -24n -260 + -24n = 38 + 11n + -11n Combine like terms: 11n + -11n = 0 -260 + -24n = 38 + 0 -260 + -24n = 38 Add '260' to each side of the equation. -260 + 260 + -24n = 38 + 260 Combine like terms: -260 + 260 = 0 0 + -24n = 38 + 260 -24n = 38 + 260 Combine like terms: 38 + 260 = 298 -24n = 298 Divide each side by '-24'. n = -12.41666667 Simplifying n = -12.41666667
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