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Simplifying 8(3n + 5) = -33 Reorder the terms: 8(5 + 3n) = -33 (5 * 8 + 3n * 8) = -33 (40 + 24n) = -33 Solving 40 + 24n = -33 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 24n = -33 + -40 Combine like terms: 40 + -40 = 0 0 + 24n = -33 + -40 24n = -33 + -40 Combine like terms: -33 + -40 = -73 24n = -73 Divide each side by '24'. n = -3.041666667 Simplifying n = -3.041666667
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