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Simplifying 9(2n + -3) = (5n + 7) + 8 Reorder the terms: 9(-3 + 2n) = (5n + 7) + 8 (-3 * 9 + 2n * 9) = (5n + 7) + 8 (-27 + 18n) = (5n + 7) + 8 Reorder the terms: -27 + 18n = (7 + 5n) + 8 Remove parenthesis around (7 + 5n) -27 + 18n = 7 + 5n + 8 Reorder the terms: -27 + 18n = 7 + 8 + 5n Combine like terms: 7 + 8 = 15 -27 + 18n = 15 + 5n Solving -27 + 18n = 15 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -27 + 18n + -5n = 15 + 5n + -5n Combine like terms: 18n + -5n = 13n -27 + 13n = 15 + 5n + -5n Combine like terms: 5n + -5n = 0 -27 + 13n = 15 + 0 -27 + 13n = 15 Add '27' to each side of the equation. -27 + 27 + 13n = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 13n = 15 + 27 13n = 15 + 27 Combine like terms: 15 + 27 = 42 13n = 42 Divide each side by '13'. n = 3.230769231 Simplifying n = 3.230769231
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