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Simplifying 6(2n + -4) = (9n + 7) + 4 Reorder the terms: 6(-4 + 2n) = (9n + 7) + 4 (-4 * 6 + 2n * 6) = (9n + 7) + 4 (-24 + 12n) = (9n + 7) + 4 Reorder the terms: -24 + 12n = (7 + 9n) + 4 Remove parenthesis around (7 + 9n) -24 + 12n = 7 + 9n + 4 Reorder the terms: -24 + 12n = 7 + 4 + 9n Combine like terms: 7 + 4 = 11 -24 + 12n = 11 + 9n Solving -24 + 12n = 11 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -24 + 12n + -9n = 11 + 9n + -9n Combine like terms: 12n + -9n = 3n -24 + 3n = 11 + 9n + -9n Combine like terms: 9n + -9n = 0 -24 + 3n = 11 + 0 -24 + 3n = 11 Add '24' to each side of the equation. -24 + 24 + 3n = 11 + 24 Combine like terms: -24 + 24 = 0 0 + 3n = 11 + 24 3n = 11 + 24 Combine like terms: 11 + 24 = 35 3n = 35 Divide each side by '3'. n = 11.66666667 Simplifying n = 11.66666667
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