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Simplifying 6(2n + -1) = (6n + 4) + 8 Reorder the terms: 6(-1 + 2n) = (6n + 4) + 8 (-1 * 6 + 2n * 6) = (6n + 4) + 8 (-6 + 12n) = (6n + 4) + 8 Reorder the terms: -6 + 12n = (4 + 6n) + 8 Remove parenthesis around (4 + 6n) -6 + 12n = 4 + 6n + 8 Reorder the terms: -6 + 12n = 4 + 8 + 6n Combine like terms: 4 + 8 = 12 -6 + 12n = 12 + 6n Solving -6 + 12n = 12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -6 + 12n + -6n = 12 + 6n + -6n Combine like terms: 12n + -6n = 6n -6 + 6n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + 6n = 12 + 0 -6 + 6n = 12 Add '6' to each side of the equation. -6 + 6 + 6n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = 12 + 6 6n = 12 + 6 Combine like terms: 12 + 6 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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