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Simplifying 5(3n + -2) = (9n + 9) + 2 Reorder the terms: 5(-2 + 3n) = (9n + 9) + 2 (-2 * 5 + 3n * 5) = (9n + 9) + 2 (-10 + 15n) = (9n + 9) + 2 Reorder the terms: -10 + 15n = (9 + 9n) + 2 Remove parenthesis around (9 + 9n) -10 + 15n = 9 + 9n + 2 Reorder the terms: -10 + 15n = 9 + 2 + 9n Combine like terms: 9 + 2 = 11 -10 + 15n = 11 + 9n Solving -10 + 15n = 11 + 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. -10 + 15n + -9n = 11 + 9n + -9n Combine like terms: 15n + -9n = 6n -10 + 6n = 11 + 9n + -9n Combine like terms: 9n + -9n = 0 -10 + 6n = 11 + 0 -10 + 6n = 11 Add '10' to each side of the equation. -10 + 10 + 6n = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 6n = 11 + 10 6n = 11 + 10 Combine like terms: 11 + 10 = 21 6n = 21 Divide each side by '6'. n = 3.5 Simplifying n = 3.5
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