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Simplifying 8n + -2(3n + 1) = 0 Reorder the terms: 8n + -2(1 + 3n) = 0 8n + (1 * -2 + 3n * -2) = 0 8n + (-2 + -6n) = 0 Reorder the terms: -2 + 8n + -6n = 0 Combine like terms: 8n + -6n = 2n -2 + 2n = 0 Solving -2 + 2n = 0 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 + 2n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = 0 + 2 2n = 0 + 2 Combine like terms: 0 + 2 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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