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Simplifying 8(3n + -2) = (4n + 3) + 8 Reorder the terms: 8(-2 + 3n) = (4n + 3) + 8 (-2 * 8 + 3n * 8) = (4n + 3) + 8 (-16 + 24n) = (4n + 3) + 8 Reorder the terms: -16 + 24n = (3 + 4n) + 8 Remove parenthesis around (3 + 4n) -16 + 24n = 3 + 4n + 8 Reorder the terms: -16 + 24n = 3 + 8 + 4n Combine like terms: 3 + 8 = 11 -16 + 24n = 11 + 4n Solving -16 + 24n = 11 + 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. -16 + 24n + -4n = 11 + 4n + -4n Combine like terms: 24n + -4n = 20n -16 + 20n = 11 + 4n + -4n Combine like terms: 4n + -4n = 0 -16 + 20n = 11 + 0 -16 + 20n = 11 Add '16' to each side of the equation. -16 + 16 + 20n = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 20n = 11 + 16 20n = 11 + 16 Combine like terms: 11 + 16 = 27 20n = 27 Divide each side by '20'. n = 1.35 Simplifying n = 1.35
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