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Simplifying 6(2n + -5) = (3n + 8) + 9 Reorder the terms: 6(-5 + 2n) = (3n + 8) + 9 (-5 * 6 + 2n * 6) = (3n + 8) + 9 (-30 + 12n) = (3n + 8) + 9 Reorder the terms: -30 + 12n = (8 + 3n) + 9 Remove parenthesis around (8 + 3n) -30 + 12n = 8 + 3n + 9 Reorder the terms: -30 + 12n = 8 + 9 + 3n Combine like terms: 8 + 9 = 17 -30 + 12n = 17 + 3n Solving -30 + 12n = 17 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -30 + 12n + -3n = 17 + 3n + -3n Combine like terms: 12n + -3n = 9n -30 + 9n = 17 + 3n + -3n Combine like terms: 3n + -3n = 0 -30 + 9n = 17 + 0 -30 + 9n = 17 Add '30' to each side of the equation. -30 + 30 + 9n = 17 + 30 Combine like terms: -30 + 30 = 0 0 + 9n = 17 + 30 9n = 17 + 30 Combine like terms: 17 + 30 = 47 9n = 47 Divide each side by '9'. n = 5.222222222 Simplifying n = 5.222222222
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