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Simplifying 3(3n + -5) = (3n + 2) + 6 Reorder the terms: 3(-5 + 3n) = (3n + 2) + 6 (-5 * 3 + 3n * 3) = (3n + 2) + 6 (-15 + 9n) = (3n + 2) + 6 Reorder the terms: -15 + 9n = (2 + 3n) + 6 Remove parenthesis around (2 + 3n) -15 + 9n = 2 + 3n + 6 Reorder the terms: -15 + 9n = 2 + 6 + 3n Combine like terms: 2 + 6 = 8 -15 + 9n = 8 + 3n Solving -15 + 9n = 8 + 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 = 8 + 3n + -3n Combine like terms: 9n + -3n = 6n -15 + 6n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 6n = 8 + 0 -15 + 6n = 8 Add '15' to each side of the equation. -15 + 15 + 6n = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 6n = 8 + 15 6n = 8 + 15 Combine like terms: 8 + 15 = 23 6n = 23 Divide each side by '6'. n = 3.833333333 Simplifying n = 3.833333333
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