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Simplifying -9(5n + 3) = 9(3 + -11n) Reorder the terms: -9(3 + 5n) = 9(3 + -11n) (3 * -9 + 5n * -9) = 9(3 + -11n) (-27 + -45n) = 9(3 + -11n) -27 + -45n = (3 * 9 + -11n * 9) -27 + -45n = (27 + -99n) Solving -27 + -45n = 27 + -99n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '99n' to each side of the equation. -27 + -45n + 99n = 27 + -99n + 99n Combine like terms: -45n + 99n = 54n -27 + 54n = 27 + -99n + 99n Combine like terms: -99n + 99n = 0 -27 + 54n = 27 + 0 -27 + 54n = 27 Add '27' to each side of the equation. -27 + 27 + 54n = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 54n = 27 + 27 54n = 27 + 27 Combine like terms: 27 + 27 = 54 54n = 54 Divide each side by '54'. n = 1 Simplifying n = 1
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