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Simplifying 0.5(8n + -2) = -1(-8 + -9) + -5n Reorder the terms: 0.5(-2 + 8n) = -1(-8 + -9) + -5n (-2 * 0.5 + 8n * 0.5) = -1(-8 + -9) + -5n (-1 + 4n) = -1(-8 + -9) + -5n Combine like terms: -8 + -9 = -17 -1 + 4n = -1(-17) + -5n Multiply -1 * -17 -1 + 4n = 17 + -5n Solving -1 + 4n = 17 + -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. -1 + 4n + 5n = 17 + -5n + 5n Combine like terms: 4n + 5n = 9n -1 + 9n = 17 + -5n + 5n Combine like terms: -5n + 5n = 0 -1 + 9n = 17 + 0 -1 + 9n = 17 Add '1' to each side of the equation. -1 + 1 + 9n = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 9n = 17 + 1 9n = 17 + 1 Combine like terms: 17 + 1 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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