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Simplifying -5(n + -8) = 2(-4n + 8) Reorder the terms: -5(-8 + n) = 2(-4n + 8) (-8 * -5 + n * -5) = 2(-4n + 8) (40 + -5n) = 2(-4n + 8) Reorder the terms: 40 + -5n = 2(8 + -4n) 40 + -5n = (8 * 2 + -4n * 2) 40 + -5n = (16 + -8n) Solving 40 + -5n = 16 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 40 + -5n + 8n = 16 + -8n + 8n Combine like terms: -5n + 8n = 3n 40 + 3n = 16 + -8n + 8n Combine like terms: -8n + 8n = 0 40 + 3n = 16 + 0 40 + 3n = 16 Add '-40' to each side of the equation. 40 + -40 + 3n = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 3n = 16 + -40 3n = 16 + -40 Combine like terms: 16 + -40 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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