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Simplifying 3(3n + -2) = (6n + 8) + 3 Reorder the terms: 3(-2 + 3n) = (6n + 8) + 3 (-2 * 3 + 3n * 3) = (6n + 8) + 3 (-6 + 9n) = (6n + 8) + 3 Reorder the terms: -6 + 9n = (8 + 6n) + 3 Remove parenthesis around (8 + 6n) -6 + 9n = 8 + 6n + 3 Reorder the terms: -6 + 9n = 8 + 3 + 6n Combine like terms: 8 + 3 = 11 -6 + 9n = 11 + 6n Solving -6 + 9n = 11 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -6 + 9n + -6n = 11 + 6n + -6n Combine like terms: 9n + -6n = 3n -6 + 3n = 11 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + 3n = 11 + 0 -6 + 3n = 11 Add '6' to each side of the equation. -6 + 6 + 3n = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = 11 + 6 3n = 11 + 6 Combine like terms: 11 + 6 = 17 3n = 17 Divide each side by '3'. n = 5.666666667 Simplifying n = 5.666666667
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