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Simplifying 3(2n + -5) = (3n + 6) + 6 Reorder the terms: 3(-5 + 2n) = (3n + 6) + 6 (-5 * 3 + 2n * 3) = (3n + 6) + 6 (-15 + 6n) = (3n + 6) + 6 Reorder the terms: -15 + 6n = (6 + 3n) + 6 Remove parenthesis around (6 + 3n) -15 + 6n = 6 + 3n + 6 Reorder the terms: -15 + 6n = 6 + 6 + 3n Combine like terms: 6 + 6 = 12 -15 + 6n = 12 + 3n Solving -15 + 6n = 12 + 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 = 12 + 3n + -3n Combine like terms: 6n + -3n = 3n -15 + 3n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 3n = 12 + 0 -15 + 3n = 12 Add '15' to each side of the equation. -15 + 15 + 3n = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3n = 12 + 15 3n = 12 + 15 Combine like terms: 12 + 15 = 27 3n = 27 Divide each side by '3'. n = 9 Simplifying n = 9
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