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Simplifying -8n + -8(-4 + -2n) = -40 -8n + (-4 * -8 + -2n * -8) = -40 -8n + (32 + 16n) = -40 Reorder the terms: 32 + -8n + 16n = -40 Combine like terms: -8n + 16n = 8n 32 + 8n = -40 Solving 32 + 8n = -40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 8n = -40 + -32 Combine like terms: 32 + -32 = 0 0 + 8n = -40 + -32 8n = -40 + -32 Combine like terms: -40 + -32 = -72 8n = -72 Divide each side by '8'. n = -9 Simplifying n = -9
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