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Simplifying 3(2n + -4) = (2n + 1) + 4 Reorder the terms: 3(-4 + 2n) = (2n + 1) + 4 (-4 * 3 + 2n * 3) = (2n + 1) + 4 (-12 + 6n) = (2n + 1) + 4 Reorder the terms: -12 + 6n = (1 + 2n) + 4 Remove parenthesis around (1 + 2n) -12 + 6n = 1 + 2n + 4 Reorder the terms: -12 + 6n = 1 + 4 + 2n Combine like terms: 1 + 4 = 5 -12 + 6n = 5 + 2n Solving -12 + 6n = 5 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -12 + 6n + -2n = 5 + 2n + -2n Combine like terms: 6n + -2n = 4n -12 + 4n = 5 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 4n = 5 + 0 -12 + 4n = 5 Add '12' to each side of the equation. -12 + 12 + 4n = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 4n = 5 + 12 4n = 5 + 12 Combine like terms: 5 + 12 = 17 4n = 17 Divide each side by '4'. n = 4.25 Simplifying n = 4.25
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