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Simplifying 3(2n + -4) = (2n + 6) + 5 Reorder the terms: 3(-4 + 2n) = (2n + 6) + 5 (-4 * 3 + 2n * 3) = (2n + 6) + 5 (-12 + 6n) = (2n + 6) + 5 Reorder the terms: -12 + 6n = (6 + 2n) + 5 Remove parenthesis around (6 + 2n) -12 + 6n = 6 + 2n + 5 Reorder the terms: -12 + 6n = 6 + 5 + 2n Combine like terms: 6 + 5 = 11 -12 + 6n = 11 + 2n Solving -12 + 6n = 11 + 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 = 11 + 2n + -2n Combine like terms: 6n + -2n = 4n -12 + 4n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 4n = 11 + 0 -12 + 4n = 11 Add '12' to each side of the equation. -12 + 12 + 4n = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 4n = 11 + 12 4n = 11 + 12 Combine like terms: 11 + 12 = 23 4n = 23 Divide each side by '4'. n = 5.75 Simplifying n = 5.75
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