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Simplifying 3(3n + -2) = (5n + 8) + 5 Reorder the terms: 3(-2 + 3n) = (5n + 8) + 5 (-2 * 3 + 3n * 3) = (5n + 8) + 5 (-6 + 9n) = (5n + 8) + 5 Reorder the terms: -6 + 9n = (8 + 5n) + 5 Remove parenthesis around (8 + 5n) -6 + 9n = 8 + 5n + 5 Reorder the terms: -6 + 9n = 8 + 5 + 5n Combine like terms: 8 + 5 = 13 -6 + 9n = 13 + 5n Solving -6 + 9n = 13 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -6 + 9n + -5n = 13 + 5n + -5n Combine like terms: 9n + -5n = 4n -6 + 4n = 13 + 5n + -5n Combine like terms: 5n + -5n = 0 -6 + 4n = 13 + 0 -6 + 4n = 13 Add '6' to each side of the equation. -6 + 6 + 4n = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 4n = 13 + 6 4n = 13 + 6 Combine like terms: 13 + 6 = 19 4n = 19 Divide each side by '4'. n = 4.75 Simplifying n = 4.75
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