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Simplifying 9(3n + -5) = (2n + 2) + 5 Reorder the terms: 9(-5 + 3n) = (2n + 2) + 5 (-5 * 9 + 3n * 9) = (2n + 2) + 5 (-45 + 27n) = (2n + 2) + 5 Reorder the terms: -45 + 27n = (2 + 2n) + 5 Remove parenthesis around (2 + 2n) -45 + 27n = 2 + 2n + 5 Reorder the terms: -45 + 27n = 2 + 5 + 2n Combine like terms: 2 + 5 = 7 -45 + 27n = 7 + 2n Solving -45 + 27n = 7 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -45 + 27n + -2n = 7 + 2n + -2n Combine like terms: 27n + -2n = 25n -45 + 25n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -45 + 25n = 7 + 0 -45 + 25n = 7 Add '45' to each side of the equation. -45 + 45 + 25n = 7 + 45 Combine like terms: -45 + 45 = 0 0 + 25n = 7 + 45 25n = 7 + 45 Combine like terms: 7 + 45 = 52 25n = 52 Divide each side by '25'. n = 2.08 Simplifying n = 2.08
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