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Simplifying 5(n + -8) = 24 + -3n Reorder the terms: 5(-8 + n) = 24 + -3n (-8 * 5 + n * 5) = 24 + -3n (-40 + 5n) = 24 + -3n Solving -40 + 5n = 24 + -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 = 24 + -3n + 3n Combine like terms: 5n + 3n = 8n -40 + 8n = 24 + -3n + 3n Combine like terms: -3n + 3n = 0 -40 + 8n = 24 + 0 -40 + 8n = 24 Add '40' to each side of the equation. -40 + 40 + 8n = 24 + 40 Combine like terms: -40 + 40 = 0 0 + 8n = 24 + 40 8n = 24 + 40 Combine like terms: 24 + 40 = 64 8n = 64 Divide each side by '8'. n = 8 Simplifying n = 8
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