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Simplifying 5(3n + -3) = (9n + 3) + 9 Reorder the terms: 5(-3 + 3n) = (9n + 3) + 9 (-3 * 5 + 3n * 5) = (9n + 3) + 9 (-15 + 15n) = (9n + 3) + 9 Reorder the terms: -15 + 15n = (3 + 9n) + 9 Remove parenthesis around (3 + 9n) -15 + 15n = 3 + 9n + 9 Reorder the terms: -15 + 15n = 3 + 9 + 9n Combine like terms: 3 + 9 = 12 -15 + 15n = 12 + 9n Solving -15 + 15n = 12 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -15 + 15n + -9n = 12 + 9n + -9n Combine like terms: 15n + -9n = 6n -15 + 6n = 12 + 9n + -9n Combine like terms: 9n + -9n = 0 -15 + 6n = 12 + 0 -15 + 6n = 12 Add '15' to each side of the equation. -15 + 15 + 6n = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 6n = 12 + 15 6n = 12 + 15 Combine like terms: 12 + 15 = 27 6n = 27 Divide each side by '6'. n = 4.5 Simplifying n = 4.5
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