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Simplifying 9(2n + -3) = (3n + 5) + 5 Reorder the terms: 9(-3 + 2n) = (3n + 5) + 5 (-3 * 9 + 2n * 9) = (3n + 5) + 5 (-27 + 18n) = (3n + 5) + 5 Reorder the terms: -27 + 18n = (5 + 3n) + 5 Remove parenthesis around (5 + 3n) -27 + 18n = 5 + 3n + 5 Reorder the terms: -27 + 18n = 5 + 5 + 3n Combine like terms: 5 + 5 = 10 -27 + 18n = 10 + 3n Solving -27 + 18n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -27 + 18n + -3n = 10 + 3n + -3n Combine like terms: 18n + -3n = 15n -27 + 15n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -27 + 15n = 10 + 0 -27 + 15n = 10 Add '27' to each side of the equation. -27 + 27 + 15n = 10 + 27 Combine like terms: -27 + 27 = 0 0 + 15n = 10 + 27 15n = 10 + 27 Combine like terms: 10 + 27 = 37 15n = 37 Divide each side by '15'. n = 2.466666667 Simplifying n = 2.466666667
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