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Simplifying 8(3n + -1) = (3n + 4) + 6 Reorder the terms: 8(-1 + 3n) = (3n + 4) + 6 (-1 * 8 + 3n * 8) = (3n + 4) + 6 (-8 + 24n) = (3n + 4) + 6 Reorder the terms: -8 + 24n = (4 + 3n) + 6 Remove parenthesis around (4 + 3n) -8 + 24n = 4 + 3n + 6 Reorder the terms: -8 + 24n = 4 + 6 + 3n Combine like terms: 4 + 6 = 10 -8 + 24n = 10 + 3n Solving -8 + 24n = 10 + 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. -8 + 24n + -3n = 10 + 3n + -3n Combine like terms: 24n + -3n = 21n -8 + 21n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + 21n = 10 + 0 -8 + 21n = 10 Add '8' to each side of the equation. -8 + 8 + 21n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 21n = 10 + 8 21n = 10 + 8 Combine like terms: 10 + 8 = 18 21n = 18 Divide each side by '21'. n = 0.8571428571 Simplifying n = 0.8571428571
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