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Simplifying 0.5(8n + -2) = -1(-8 + 9n) + -5n Reorder the terms: 0.5(-2 + 8n) = -1(-8 + 9n) + -5n (-2 * 0.5 + 8n * 0.5) = -1(-8 + 9n) + -5n (-1 + 4n) = -1(-8 + 9n) + -5n -1 + 4n = (-8 * -1 + 9n * -1) + -5n -1 + 4n = (8 + -9n) + -5n Combine like terms: -9n + -5n = -14n -1 + 4n = 8 + -14n Solving -1 + 4n = 8 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -1 + 4n + 14n = 8 + -14n + 14n Combine like terms: 4n + 14n = 18n -1 + 18n = 8 + -14n + 14n Combine like terms: -14n + 14n = 0 -1 + 18n = 8 + 0 -1 + 18n = 8 Add '1' to each side of the equation. -1 + 1 + 18n = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 18n = 8 + 1 18n = 8 + 1 Combine like terms: 8 + 1 = 9 18n = 9 Divide each side by '18'. n = 0.5 Simplifying n = 0.5
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