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Simplifying 9(2n + -5) = (9n + 7) + 8 Reorder the terms: 9(-5 + 2n) = (9n + 7) + 8 (-5 * 9 + 2n * 9) = (9n + 7) + 8 (-45 + 18n) = (9n + 7) + 8 Reorder the terms: -45 + 18n = (7 + 9n) + 8 Remove parenthesis around (7 + 9n) -45 + 18n = 7 + 9n + 8 Reorder the terms: -45 + 18n = 7 + 8 + 9n Combine like terms: 7 + 8 = 15 -45 + 18n = 15 + 9n Solving -45 + 18n = 15 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -45 + 18n + -9n = 15 + 9n + -9n Combine like terms: 18n + -9n = 9n -45 + 9n = 15 + 9n + -9n Combine like terms: 9n + -9n = 0 -45 + 9n = 15 + 0 -45 + 9n = 15 Add '45' to each side of the equation. -45 + 45 + 9n = 15 + 45 Combine like terms: -45 + 45 = 0 0 + 9n = 15 + 45 9n = 15 + 45 Combine like terms: 15 + 45 = 60 9n = 60 Divide each side by '9'. n = 6.666666667 Simplifying n = 6.666666667
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