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Simplifying 3(3n + -3) = (4n + 5) + 7 Reorder the terms: 3(-3 + 3n) = (4n + 5) + 7 (-3 * 3 + 3n * 3) = (4n + 5) + 7 (-9 + 9n) = (4n + 5) + 7 Reorder the terms: -9 + 9n = (5 + 4n) + 7 Remove parenthesis around (5 + 4n) -9 + 9n = 5 + 4n + 7 Reorder the terms: -9 + 9n = 5 + 7 + 4n Combine like terms: 5 + 7 = 12 -9 + 9n = 12 + 4n Solving -9 + 9n = 12 + 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. -9 + 9n + -4n = 12 + 4n + -4n Combine like terms: 9n + -4n = 5n -9 + 5n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -9 + 5n = 12 + 0 -9 + 5n = 12 Add '9' to each side of the equation. -9 + 9 + 5n = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 5n = 12 + 9 5n = 12 + 9 Combine like terms: 12 + 9 = 21 5n = 21 Divide each side by '5'. n = 4.2 Simplifying n = 4.2
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