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Simplifying 3(3n + -1) = (4n + 2) + 8 Reorder the terms: 3(-1 + 3n) = (4n + 2) + 8 (-1 * 3 + 3n * 3) = (4n + 2) + 8 (-3 + 9n) = (4n + 2) + 8 Reorder the terms: -3 + 9n = (2 + 4n) + 8 Remove parenthesis around (2 + 4n) -3 + 9n = 2 + 4n + 8 Reorder the terms: -3 + 9n = 2 + 8 + 4n Combine like terms: 2 + 8 = 10 -3 + 9n = 10 + 4n Solving -3 + 9n = 10 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -3 + 9n + -4n = 10 + 4n + -4n Combine like terms: 9n + -4n = 5n -3 + 5n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 -3 + 5n = 10 + 0 -3 + 5n = 10 Add '3' to each side of the equation. -3 + 3 + 5n = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 5n = 10 + 3 5n = 10 + 3 Combine like terms: 10 + 3 = 13 5n = 13 Divide each side by '5'. n = 2.6 Simplifying n = 2.6
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