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Simplifying 6(2n + -5) = (5n + 8) + 3 Reorder the terms: 6(-5 + 2n) = (5n + 8) + 3 (-5 * 6 + 2n * 6) = (5n + 8) + 3 (-30 + 12n) = (5n + 8) + 3 Reorder the terms: -30 + 12n = (8 + 5n) + 3 Remove parenthesis around (8 + 5n) -30 + 12n = 8 + 5n + 3 Reorder the terms: -30 + 12n = 8 + 3 + 5n Combine like terms: 8 + 3 = 11 -30 + 12n = 11 + 5n Solving -30 + 12n = 11 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -30 + 12n + -5n = 11 + 5n + -5n Combine like terms: 12n + -5n = 7n -30 + 7n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 -30 + 7n = 11 + 0 -30 + 7n = 11 Add '30' to each side of the equation. -30 + 30 + 7n = 11 + 30 Combine like terms: -30 + 30 = 0 0 + 7n = 11 + 30 7n = 11 + 30 Combine like terms: 11 + 30 = 41 7n = 41 Divide each side by '7'. n = 5.857142857 Simplifying n = 5.857142857
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