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Simplifying 6(n + 4) = -2n Reorder the terms: 6(4 + n) = -2n (4 * 6 + n * 6) = -2n (24 + 6n) = -2n Solving 24 + 6n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 24 + 6n + 2n = -2n + 2n Combine like terms: 6n + 2n = 8n 24 + 8n = -2n + 2n Combine like terms: -2n + 2n = 0 24 + 8n = 0 Add '-24' to each side of the equation. 24 + -24 + 8n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = 0 + -24 8n = 0 + -24 Combine like terms: 0 + -24 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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