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Simplifying 3(3n + -1) = (5n + 6) + 4 Reorder the terms: 3(-1 + 3n) = (5n + 6) + 4 (-1 * 3 + 3n * 3) = (5n + 6) + 4 (-3 + 9n) = (5n + 6) + 4 Reorder the terms: -3 + 9n = (6 + 5n) + 4 Remove parenthesis around (6 + 5n) -3 + 9n = 6 + 5n + 4 Reorder the terms: -3 + 9n = 6 + 4 + 5n Combine like terms: 6 + 4 = 10 -3 + 9n = 10 + 5n Solving -3 + 9n = 10 + 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. -3 + 9n + -5n = 10 + 5n + -5n Combine like terms: 9n + -5n = 4n -3 + 4n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + 4n = 10 + 0 -3 + 4n = 10 Add '3' to each side of the equation. -3 + 3 + 4n = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 4n = 10 + 3 4n = 10 + 3 Combine like terms: 10 + 3 = 13 4n = 13 Divide each side by '4'. n = 3.25 Simplifying n = 3.25
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