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Simplifying 9(2n + -3) = (5n + 8) + 5 Reorder the terms: 9(-3 + 2n) = (5n + 8) + 5 (-3 * 9 + 2n * 9) = (5n + 8) + 5 (-27 + 18n) = (5n + 8) + 5 Reorder the terms: -27 + 18n = (8 + 5n) + 5 Remove parenthesis around (8 + 5n) -27 + 18n = 8 + 5n + 5 Reorder the terms: -27 + 18n = 8 + 5 + 5n Combine like terms: 8 + 5 = 13 -27 + 18n = 13 + 5n Solving -27 + 18n = 13 + 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 = 13 + 5n + -5n Combine like terms: 18n + -5n = 13n -27 + 13n = 13 + 5n + -5n Combine like terms: 5n + -5n = 0 -27 + 13n = 13 + 0 -27 + 13n = 13 Add '27' to each side of the equation. -27 + 27 + 13n = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 13n = 13 + 27 13n = 13 + 27 Combine like terms: 13 + 27 = 40 13n = 40 Divide each side by '13'. n = 3.076923077 Simplifying n = 3.076923077
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