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Simplifying 2(3n + -4) = (4n + 2) + 9 Reorder the terms: 2(-4 + 3n) = (4n + 2) + 9 (-4 * 2 + 3n * 2) = (4n + 2) + 9 (-8 + 6n) = (4n + 2) + 9 Reorder the terms: -8 + 6n = (2 + 4n) + 9 Remove parenthesis around (2 + 4n) -8 + 6n = 2 + 4n + 9 Reorder the terms: -8 + 6n = 2 + 9 + 4n Combine like terms: 2 + 9 = 11 -8 + 6n = 11 + 4n Solving -8 + 6n = 11 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -8 + 6n + -4n = 11 + 4n + -4n Combine like terms: 6n + -4n = 2n -8 + 2n = 11 + 4n + -4n Combine like terms: 4n + -4n = 0 -8 + 2n = 11 + 0 -8 + 2n = 11 Add '8' to each side of the equation. -8 + 8 + 2n = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 11 + 8 2n = 11 + 8 Combine like terms: 11 + 8 = 19 2n = 19 Divide each side by '2'. n = 9.5 Simplifying n = 9.5
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