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Simplifying -8(5n + -3) = -8n + 24 Reorder the terms: -8(-3 + 5n) = -8n + 24 (-3 * -8 + 5n * -8) = -8n + 24 (24 + -40n) = -8n + 24 Reorder the terms: 24 + -40n = 24 + -8n Add '-24' to each side of the equation. 24 + -24 + -40n = 24 + -24 + -8n Combine like terms: 24 + -24 = 0 0 + -40n = 24 + -24 + -8n -40n = 24 + -24 + -8n Combine like terms: 24 + -24 = 0 -40n = 0 + -8n -40n = -8n Solving -40n = -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. -40n + 8n = -8n + 8n Combine like terms: -40n + 8n = -32n -32n = -8n + 8n Combine like terms: -8n + 8n = 0 -32n = 0 Divide each side by '-32'. n = 0 Simplifying n = 0
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