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Simplifying -5(n + -8) = 8 + 3n Reorder the terms: -5(-8 + n) = 8 + 3n (-8 * -5 + n * -5) = 8 + 3n (40 + -5n) = 8 + 3n Solving 40 + -5n = 8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 40 + -5n + -3n = 8 + 3n + -3n Combine like terms: -5n + -3n = -8n 40 + -8n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 40 + -8n = 8 + 0 40 + -8n = 8 Add '-40' to each side of the equation. 40 + -40 + -8n = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -8n = 8 + -40 -8n = 8 + -40 Combine like terms: 8 + -40 = -32 -8n = -32 Divide each side by '-8'. n = 4 Simplifying n = 4
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