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Simplifying 6(2n + -4) = (9n + 3) + 1 Reorder the terms: 6(-4 + 2n) = (9n + 3) + 1 (-4 * 6 + 2n * 6) = (9n + 3) + 1 (-24 + 12n) = (9n + 3) + 1 Reorder the terms: -24 + 12n = (3 + 9n) + 1 Remove parenthesis around (3 + 9n) -24 + 12n = 3 + 9n + 1 Reorder the terms: -24 + 12n = 3 + 1 + 9n Combine like terms: 3 + 1 = 4 -24 + 12n = 4 + 9n Solving -24 + 12n = 4 + 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 = 4 + 9n + -9n Combine like terms: 12n + -9n = 3n -24 + 3n = 4 + 9n + -9n Combine like terms: 9n + -9n = 0 -24 + 3n = 4 + 0 -24 + 3n = 4 Add '24' to each side of the equation. -24 + 24 + 3n = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 3n = 4 + 24 3n = 4 + 24 Combine like terms: 4 + 24 = 28 3n = 28 Divide each side by '3'. n = 9.333333333 Simplifying n = 9.333333333
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