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Simplifying 8n + -24 = 8(1 + -1n) Reorder the terms: -24 + 8n = 8(1 + -1n) -24 + 8n = (1 * 8 + -1n * 8) -24 + 8n = (8 + -8n) Solving -24 + 8n = 8 + -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. -24 + 8n + 8n = 8 + -8n + 8n Combine like terms: 8n + 8n = 16n -24 + 16n = 8 + -8n + 8n Combine like terms: -8n + 8n = 0 -24 + 16n = 8 + 0 -24 + 16n = 8 Add '24' to each side of the equation. -24 + 24 + 16n = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 16n = 8 + 24 16n = 8 + 24 Combine like terms: 8 + 24 = 32 16n = 32 Divide each side by '16'. n = 2 Simplifying n = 2
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