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Simplifying 8n + -1(2n + -2) = 12 Reorder the terms: 8n + -1(-2 + 2n) = 12 8n + (-2 * -1 + 2n * -1) = 12 8n + (2 + -2n) = 12 Reorder the terms: 2 + 8n + -2n = 12 Combine like terms: 8n + -2n = 6n 2 + 6n = 12 Solving 2 + 6n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6n = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 12 + -2 6n = 12 + -2 Combine like terms: 12 + -2 = 10 6n = 10 Divide each side by '6'. n = 1.666666667 Simplifying n = 1.666666667
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