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Simplifying 8(4n + -3) + -5n = 57 Reorder the terms: 8(-3 + 4n) + -5n = 57 (-3 * 8 + 4n * 8) + -5n = 57 (-24 + 32n) + -5n = 57 Combine like terms: 32n + -5n = 27n -24 + 27n = 57 Solving -24 + 27n = 57 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 27n = 57 + 24 Combine like terms: -24 + 24 = 0 0 + 27n = 57 + 24 27n = 57 + 24 Combine like terms: 57 + 24 = 81 27n = 81 Divide each side by '27'. n = 3 Simplifying n = 3
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