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Simplifying 3(2n + -4) = (4n + 7) + 5 Reorder the terms: 3(-4 + 2n) = (4n + 7) + 5 (-4 * 3 + 2n * 3) = (4n + 7) + 5 (-12 + 6n) = (4n + 7) + 5 Reorder the terms: -12 + 6n = (7 + 4n) + 5 Remove parenthesis around (7 + 4n) -12 + 6n = 7 + 4n + 5 Reorder the terms: -12 + 6n = 7 + 5 + 4n Combine like terms: 7 + 5 = 12 -12 + 6n = 12 + 4n Solving -12 + 6n = 12 + 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. -12 + 6n + -4n = 12 + 4n + -4n Combine like terms: 6n + -4n = 2n -12 + 2n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -12 + 2n = 12 + 0 -12 + 2n = 12 Add '12' to each side of the equation. -12 + 12 + 2n = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 12 + 12 2n = 12 + 12 Combine like terms: 12 + 12 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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