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Simplifying 3(3n + -3) = (5n + 8) + 7 Reorder the terms: 3(-3 + 3n) = (5n + 8) + 7 (-3 * 3 + 3n * 3) = (5n + 8) + 7 (-9 + 9n) = (5n + 8) + 7 Reorder the terms: -9 + 9n = (8 + 5n) + 7 Remove parenthesis around (8 + 5n) -9 + 9n = 8 + 5n + 7 Reorder the terms: -9 + 9n = 8 + 7 + 5n Combine like terms: 8 + 7 = 15 -9 + 9n = 15 + 5n Solving -9 + 9n = 15 + 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. -9 + 9n + -5n = 15 + 5n + -5n Combine like terms: 9n + -5n = 4n -9 + 4n = 15 + 5n + -5n Combine like terms: 5n + -5n = 0 -9 + 4n = 15 + 0 -9 + 4n = 15 Add '9' to each side of the equation. -9 + 9 + 4n = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 4n = 15 + 9 4n = 15 + 9 Combine like terms: 15 + 9 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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