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Simplifying 50(8n + -2) = -1(-8 + 9n) + -5n Reorder the terms: 50(-2 + 8n) = -1(-8 + 9n) + -5n (-2 * 50 + 8n * 50) = -1(-8 + 9n) + -5n (-100 + 400n) = -1(-8 + 9n) + -5n -100 + 400n = (-8 * -1 + 9n * -1) + -5n -100 + 400n = (8 + -9n) + -5n Combine like terms: -9n + -5n = -14n -100 + 400n = 8 + -14n Solving -100 + 400n = 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. -100 + 400n + 14n = 8 + -14n + 14n Combine like terms: 400n + 14n = 414n -100 + 414n = 8 + -14n + 14n Combine like terms: -14n + 14n = 0 -100 + 414n = 8 + 0 -100 + 414n = 8 Add '100' to each side of the equation. -100 + 100 + 414n = 8 + 100 Combine like terms: -100 + 100 = 0 0 + 414n = 8 + 100 414n = 8 + 100 Combine like terms: 8 + 100 = 108 414n = 108 Divide each side by '414'. n = 0.2608695652 Simplifying n = 0.2608695652
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