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Simplifying -6(4 + -1n) = 8n + -30 (4 * -6 + -1n * -6) = 8n + -30 (-24 + 6n) = 8n + -30 Reorder the terms: -24 + 6n = -30 + 8n Solving -24 + 6n = -30 + 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 + 6n + -8n = -30 + 8n + -8n Combine like terms: 6n + -8n = -2n -24 + -2n = -30 + 8n + -8n Combine like terms: 8n + -8n = 0 -24 + -2n = -30 + 0 -24 + -2n = -30 Add '24' to each side of the equation. -24 + 24 + -2n = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -2n = -30 + 24 -2n = -30 + 24 Combine like terms: -30 + 24 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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