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Simplifying 2[3 + 4(n + 1)] = -2 Reorder the terms: 2[3 + 4(1 + n)] = -2 2[3 + (1 * 4 + n * 4)] = -2 2[3 + (4 + 4n)] = -2 Combine like terms: 3 + 4 = 7 2[7 + 4n] = -2 [7 * 2 + 4n * 2] = -2 [14 + 8n] = -2 Solving 14 + 8n = -2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8n = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 8n = -2 + -14 8n = -2 + -14 Combine like terms: -2 + -14 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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