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Simplifying 8(2n + -3) = (4n + 2) + 6 Reorder the terms: 8(-3 + 2n) = (4n + 2) + 6 (-3 * 8 + 2n * 8) = (4n + 2) + 6 (-24 + 16n) = (4n + 2) + 6 Reorder the terms: -24 + 16n = (2 + 4n) + 6 Remove parenthesis around (2 + 4n) -24 + 16n = 2 + 4n + 6 Reorder the terms: -24 + 16n = 2 + 6 + 4n Combine like terms: 2 + 6 = 8 -24 + 16n = 8 + 4n Solving -24 + 16n = 8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -24 + 16n + -4n = 8 + 4n + -4n Combine like terms: 16n + -4n = 12n -24 + 12n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -24 + 12n = 8 + 0 -24 + 12n = 8 Add '24' to each side of the equation. -24 + 24 + 12n = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 12n = 8 + 24 12n = 8 + 24 Combine like terms: 8 + 24 = 32 12n = 32 Divide each side by '12'. n = 2.666666667 Simplifying n = 2.666666667
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