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Simplifying 3(2n + -3) = (4n + 9) + 8 Reorder the terms: 3(-3 + 2n) = (4n + 9) + 8 (-3 * 3 + 2n * 3) = (4n + 9) + 8 (-9 + 6n) = (4n + 9) + 8 Reorder the terms: -9 + 6n = (9 + 4n) + 8 Remove parenthesis around (9 + 4n) -9 + 6n = 9 + 4n + 8 Reorder the terms: -9 + 6n = 9 + 8 + 4n Combine like terms: 9 + 8 = 17 -9 + 6n = 17 + 4n Solving -9 + 6n = 17 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -9 + 6n + -4n = 17 + 4n + -4n Combine like terms: 6n + -4n = 2n -9 + 2n = 17 + 4n + -4n Combine like terms: 4n + -4n = 0 -9 + 2n = 17 + 0 -9 + 2n = 17 Add '9' to each side of the equation. -9 + 9 + 2n = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 2n = 17 + 9 2n = 17 + 9 Combine like terms: 17 + 9 = 26 2n = 26 Divide each side by '2'. n = 13 Simplifying n = 13
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