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Simplifying 3(2n + -3) = (2n + 8) + 3 Reorder the terms: 3(-3 + 2n) = (2n + 8) + 3 (-3 * 3 + 2n * 3) = (2n + 8) + 3 (-9 + 6n) = (2n + 8) + 3 Reorder the terms: -9 + 6n = (8 + 2n) + 3 Remove parenthesis around (8 + 2n) -9 + 6n = 8 + 2n + 3 Reorder the terms: -9 + 6n = 8 + 3 + 2n Combine like terms: 8 + 3 = 11 -9 + 6n = 11 + 2n Solving -9 + 6n = 11 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -9 + 6n + -2n = 11 + 2n + -2n Combine like terms: 6n + -2n = 4n -9 + 4n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 -9 + 4n = 11 + 0 -9 + 4n = 11 Add '9' to each side of the equation. -9 + 9 + 4n = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 4n = 11 + 9 4n = 11 + 9 Combine like terms: 11 + 9 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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