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Simplifying 3(2n + -4) = (3n + 4) + 7 Reorder the terms: 3(-4 + 2n) = (3n + 4) + 7 (-4 * 3 + 2n * 3) = (3n + 4) + 7 (-12 + 6n) = (3n + 4) + 7 Reorder the terms: -12 + 6n = (4 + 3n) + 7 Remove parenthesis around (4 + 3n) -12 + 6n = 4 + 3n + 7 Reorder the terms: -12 + 6n = 4 + 7 + 3n Combine like terms: 4 + 7 = 11 -12 + 6n = 11 + 3n Solving -12 + 6n = 11 + 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. -12 + 6n + -3n = 11 + 3n + -3n Combine like terms: 6n + -3n = 3n -12 + 3n = 11 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 3n = 11 + 0 -12 + 3n = 11 Add '12' to each side of the equation. -12 + 12 + 3n = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 3n = 11 + 12 3n = 11 + 12 Combine like terms: 11 + 12 = 23 3n = 23 Divide each side by '3'. n = 7.666666667 Simplifying n = 7.666666667
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