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Simplifying -1n + 6(-4 + 8n) = 117 -1n + (-4 * 6 + 8n * 6) = 117 -1n + (-24 + 48n) = 117 Reorder the terms: -24 + -1n + 48n = 117 Combine like terms: -1n + 48n = 47n -24 + 47n = 117 Solving -24 + 47n = 117 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 47n = 117 + 24 Combine like terms: -24 + 24 = 0 0 + 47n = 117 + 24 47n = 117 + 24 Combine like terms: 117 + 24 = 141 47n = 141 Divide each side by '47'. n = 3 Simplifying n = 3
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