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Simplifying 5(3n + -5) = (9n + 2) + 8 Reorder the terms: 5(-5 + 3n) = (9n + 2) + 8 (-5 * 5 + 3n * 5) = (9n + 2) + 8 (-25 + 15n) = (9n + 2) + 8 Reorder the terms: -25 + 15n = (2 + 9n) + 8 Remove parenthesis around (2 + 9n) -25 + 15n = 2 + 9n + 8 Reorder the terms: -25 + 15n = 2 + 8 + 9n Combine like terms: 2 + 8 = 10 -25 + 15n = 10 + 9n Solving -25 + 15n = 10 + 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. -25 + 15n + -9n = 10 + 9n + -9n Combine like terms: 15n + -9n = 6n -25 + 6n = 10 + 9n + -9n Combine like terms: 9n + -9n = 0 -25 + 6n = 10 + 0 -25 + 6n = 10 Add '25' to each side of the equation. -25 + 25 + 6n = 10 + 25 Combine like terms: -25 + 25 = 0 0 + 6n = 10 + 25 6n = 10 + 25 Combine like terms: 10 + 25 = 35 6n = 35 Divide each side by '6'. n = 5.833333333 Simplifying n = 5.833333333
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