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Simplifying 8(2n + -3) = (5n + 2) + 4 Reorder the terms: 8(-3 + 2n) = (5n + 2) + 4 (-3 * 8 + 2n * 8) = (5n + 2) + 4 (-24 + 16n) = (5n + 2) + 4 Reorder the terms: -24 + 16n = (2 + 5n) + 4 Remove parenthesis around (2 + 5n) -24 + 16n = 2 + 5n + 4 Reorder the terms: -24 + 16n = 2 + 4 + 5n Combine like terms: 2 + 4 = 6 -24 + 16n = 6 + 5n Solving -24 + 16n = 6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -24 + 16n + -5n = 6 + 5n + -5n Combine like terms: 16n + -5n = 11n -24 + 11n = 6 + 5n + -5n Combine like terms: 5n + -5n = 0 -24 + 11n = 6 + 0 -24 + 11n = 6 Add '24' to each side of the equation. -24 + 24 + 11n = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 11n = 6 + 24 11n = 6 + 24 Combine like terms: 6 + 24 = 30 11n = 30 Divide each side by '11'. n = 2.727272727 Simplifying n = 2.727272727
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