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Simplifying 3(3n + -5) = (3n + 2) + 8 Reorder the terms: 3(-5 + 3n) = (3n + 2) + 8 (-5 * 3 + 3n * 3) = (3n + 2) + 8 (-15 + 9n) = (3n + 2) + 8 Reorder the terms: -15 + 9n = (2 + 3n) + 8 Remove parenthesis around (2 + 3n) -15 + 9n = 2 + 3n + 8 Reorder the terms: -15 + 9n = 2 + 8 + 3n Combine like terms: 2 + 8 = 10 -15 + 9n = 10 + 3n Solving -15 + 9n = 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. -15 + 9n + -3n = 10 + 3n + -3n Combine like terms: 9n + -3n = 6n -15 + 6n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 6n = 10 + 0 -15 + 6n = 10 Add '15' to each side of the equation. -15 + 15 + 6n = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 6n = 10 + 15 6n = 10 + 15 Combine like terms: 10 + 15 = 25 6n = 25 Divide each side by '6'. n = 4.166666667 Simplifying n = 4.166666667
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