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Simplifying 8(3n + 6) + -20n + -40 = 0 Reorder the terms: 8(6 + 3n) + -20n + -40 = 0 (6 * 8 + 3n * 8) + -20n + -40 = 0 (48 + 24n) + -20n + -40 = 0 Reorder the terms: 48 + -40 + 24n + -20n = 0 Combine like terms: 48 + -40 = 8 8 + 24n + -20n = 0 Combine like terms: 24n + -20n = 4n 8 + 4n = 0 Solving 8 + 4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4n = 0 + -8 4n = 0 + -8 Combine like terms: 0 + -8 = -8 4n = -8 Divide each side by '4'. n = -2 Simplifying n = -2
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