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Simplifying 2(3n + -4) = (3n + 6) + 9 Reorder the terms: 2(-4 + 3n) = (3n + 6) + 9 (-4 * 2 + 3n * 2) = (3n + 6) + 9 (-8 + 6n) = (3n + 6) + 9 Reorder the terms: -8 + 6n = (6 + 3n) + 9 Remove parenthesis around (6 + 3n) -8 + 6n = 6 + 3n + 9 Reorder the terms: -8 + 6n = 6 + 9 + 3n Combine like terms: 6 + 9 = 15 -8 + 6n = 15 + 3n Solving -8 + 6n = 15 + 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. -8 + 6n + -3n = 15 + 3n + -3n Combine like terms: 6n + -3n = 3n -8 + 3n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + 3n = 15 + 0 -8 + 3n = 15 Add '8' to each side of the equation. -8 + 8 + 3n = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 15 + 8 3n = 15 + 8 Combine like terms: 15 + 8 = 23 3n = 23 Divide each side by '3'. n = 7.666666667 Simplifying n = 7.666666667
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