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Simplifying 6(2n + -5) = (9n + 6) + 5 Reorder the terms: 6(-5 + 2n) = (9n + 6) + 5 (-5 * 6 + 2n * 6) = (9n + 6) + 5 (-30 + 12n) = (9n + 6) + 5 Reorder the terms: -30 + 12n = (6 + 9n) + 5 Remove parenthesis around (6 + 9n) -30 + 12n = 6 + 9n + 5 Reorder the terms: -30 + 12n = 6 + 5 + 9n Combine like terms: 6 + 5 = 11 -30 + 12n = 11 + 9n Solving -30 + 12n = 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. -30 + 12n + -9n = 11 + 9n + -9n Combine like terms: 12n + -9n = 3n -30 + 3n = 11 + 9n + -9n Combine like terms: 9n + -9n = 0 -30 + 3n = 11 + 0 -30 + 3n = 11 Add '30' to each side of the equation. -30 + 30 + 3n = 11 + 30 Combine like terms: -30 + 30 = 0 0 + 3n = 11 + 30 3n = 11 + 30 Combine like terms: 11 + 30 = 41 3n = 41 Divide each side by '3'. n = 13.66666667 Simplifying n = 13.66666667
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