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Simplifying 3(2n + -5) = (3n + 3) + 8 Reorder the terms: 3(-5 + 2n) = (3n + 3) + 8 (-5 * 3 + 2n * 3) = (3n + 3) + 8 (-15 + 6n) = (3n + 3) + 8 Reorder the terms: -15 + 6n = (3 + 3n) + 8 Remove parenthesis around (3 + 3n) -15 + 6n = 3 + 3n + 8 Reorder the terms: -15 + 6n = 3 + 8 + 3n Combine like terms: 3 + 8 = 11 -15 + 6n = 11 + 3n Solving -15 + 6n = 11 + 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. -15 + 6n + -3n = 11 + 3n + -3n Combine like terms: 6n + -3n = 3n -15 + 3n = 11 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 3n = 11 + 0 -15 + 3n = 11 Add '15' to each side of the equation. -15 + 15 + 3n = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 3n = 11 + 15 3n = 11 + 15 Combine like terms: 11 + 15 = 26 3n = 26 Divide each side by '3'. n = 8.666666667 Simplifying n = 8.666666667
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