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Simplifying 9(3n + -1) = (6n + 3) + 9 Reorder the terms: 9(-1 + 3n) = (6n + 3) + 9 (-1 * 9 + 3n * 9) = (6n + 3) + 9 (-9 + 27n) = (6n + 3) + 9 Reorder the terms: -9 + 27n = (3 + 6n) + 9 Remove parenthesis around (3 + 6n) -9 + 27n = 3 + 6n + 9 Reorder the terms: -9 + 27n = 3 + 9 + 6n Combine like terms: 3 + 9 = 12 -9 + 27n = 12 + 6n Solving -9 + 27n = 12 + 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. -9 + 27n + -6n = 12 + 6n + -6n Combine like terms: 27n + -6n = 21n -9 + 21n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -9 + 21n = 12 + 0 -9 + 21n = 12 Add '9' to each side of the equation. -9 + 9 + 21n = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 21n = 12 + 9 21n = 12 + 9 Combine like terms: 12 + 9 = 21 21n = 21 Divide each side by '21'. n = 1 Simplifying n = 1
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