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Simplifying 8(n + -1) + -5(n + -4) = 0 Reorder the terms: 8(-1 + n) + -5(n + -4) = 0 (-1 * 8 + n * 8) + -5(n + -4) = 0 (-8 + 8n) + -5(n + -4) = 0 Reorder the terms: -8 + 8n + -5(-4 + n) = 0 -8 + 8n + (-4 * -5 + n * -5) = 0 -8 + 8n + (20 + -5n) = 0 Reorder the terms: -8 + 20 + 8n + -5n = 0 Combine like terms: -8 + 20 = 12 12 + 8n + -5n = 0 Combine like terms: 8n + -5n = 3n 12 + 3n = 0 Solving 12 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = 0 + -12 3n = 0 + -12 Combine like terms: 0 + -12 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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