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Simplifying 0.50(8n + -2) = 16 + -30n Reorder the terms: 0.50(-2 + 8n) = 16 + -30n (-2 * 0.50 + 8n * 0.50) = 16 + -30n (-1 + 4n) = 16 + -30n Solving -1 + 4n = 16 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -1 + 4n + 30n = 16 + -30n + 30n Combine like terms: 4n + 30n = 34n -1 + 34n = 16 + -30n + 30n Combine like terms: -30n + 30n = 0 -1 + 34n = 16 + 0 -1 + 34n = 16 Add '1' to each side of the equation. -1 + 1 + 34n = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 34n = 16 + 1 34n = 16 + 1 Combine like terms: 16 + 1 = 17 34n = 17 Divide each side by '34'. n = 0.5 Simplifying n = 0.5
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