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Simplifying 8(3n + -3) = (9n + 2) + 2 Reorder the terms: 8(-3 + 3n) = (9n + 2) + 2 (-3 * 8 + 3n * 8) = (9n + 2) + 2 (-24 + 24n) = (9n + 2) + 2 Reorder the terms: -24 + 24n = (2 + 9n) + 2 Remove parenthesis around (2 + 9n) -24 + 24n = 2 + 9n + 2 Reorder the terms: -24 + 24n = 2 + 2 + 9n Combine like terms: 2 + 2 = 4 -24 + 24n = 4 + 9n Solving -24 + 24n = 4 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -24 + 24n + -9n = 4 + 9n + -9n Combine like terms: 24n + -9n = 15n -24 + 15n = 4 + 9n + -9n Combine like terms: 9n + -9n = 0 -24 + 15n = 4 + 0 -24 + 15n = 4 Add '24' to each side of the equation. -24 + 24 + 15n = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 15n = 4 + 24 15n = 4 + 24 Combine like terms: 4 + 24 = 28 15n = 28 Divide each side by '15'. n = 1.866666667 Simplifying n = 1.866666667
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