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Simplifying 3(2n + -3) = (3n + 6) + 2 Reorder the terms: 3(-3 + 2n) = (3n + 6) + 2 (-3 * 3 + 2n * 3) = (3n + 6) + 2 (-9 + 6n) = (3n + 6) + 2 Reorder the terms: -9 + 6n = (6 + 3n) + 2 Remove parenthesis around (6 + 3n) -9 + 6n = 6 + 3n + 2 Reorder the terms: -9 + 6n = 6 + 2 + 3n Combine like terms: 6 + 2 = 8 -9 + 6n = 8 + 3n Solving -9 + 6n = 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. -9 + 6n + -3n = 8 + 3n + -3n Combine like terms: 6n + -3n = 3n -9 + 3n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -9 + 3n = 8 + 0 -9 + 3n = 8 Add '9' to each side of the equation. -9 + 9 + 3n = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 3n = 8 + 9 3n = 8 + 9 Combine like terms: 8 + 9 = 17 3n = 17 Divide each side by '3'. n = 5.666666667 Simplifying n = 5.666666667
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