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Simplifying 3(3n + -2) = (2n + 5) + 8 Reorder the terms: 3(-2 + 3n) = (2n + 5) + 8 (-2 * 3 + 3n * 3) = (2n + 5) + 8 (-6 + 9n) = (2n + 5) + 8 Reorder the terms: -6 + 9n = (5 + 2n) + 8 Remove parenthesis around (5 + 2n) -6 + 9n = 5 + 2n + 8 Reorder the terms: -6 + 9n = 5 + 8 + 2n Combine like terms: 5 + 8 = 13 -6 + 9n = 13 + 2n Solving -6 + 9n = 13 + 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. -6 + 9n + -2n = 13 + 2n + -2n Combine like terms: 9n + -2n = 7n -6 + 7n = 13 + 2n + -2n Combine like terms: 2n + -2n = 0 -6 + 7n = 13 + 0 -6 + 7n = 13 Add '6' to each side of the equation. -6 + 6 + 7n = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 7n = 13 + 6 7n = 13 + 6 Combine like terms: 13 + 6 = 19 7n = 19 Divide each side by '7'. n = 2.714285714 Simplifying n = 2.714285714
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