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Simplifying 8(3n + -3) = (4n + 6) + 2 Reorder the terms: 8(-3 + 3n) = (4n + 6) + 2 (-3 * 8 + 3n * 8) = (4n + 6) + 2 (-24 + 24n) = (4n + 6) + 2 Reorder the terms: -24 + 24n = (6 + 4n) + 2 Remove parenthesis around (6 + 4n) -24 + 24n = 6 + 4n + 2 Reorder the terms: -24 + 24n = 6 + 2 + 4n Combine like terms: 6 + 2 = 8 -24 + 24n = 8 + 4n Solving -24 + 24n = 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 + 24n + -4n = 8 + 4n + -4n Combine like terms: 24n + -4n = 20n -24 + 20n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -24 + 20n = 8 + 0 -24 + 20n = 8 Add '24' to each side of the equation. -24 + 24 + 20n = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 20n = 8 + 24 20n = 8 + 24 Combine like terms: 8 + 24 = 32 20n = 32 Divide each side by '20'. n = 1.6 Simplifying n = 1.6
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