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Simplifying 8n + -1(3n + -12) = 42 Reorder the terms: 8n + -1(-12 + 3n) = 42 8n + (-12 * -1 + 3n * -1) = 42 8n + (12 + -3n) = 42 Reorder the terms: 12 + 8n + -3n = 42 Combine like terms: 8n + -3n = 5n 12 + 5n = 42 Solving 12 + 5n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5n = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 5n = 42 + -12 5n = 42 + -12 Combine like terms: 42 + -12 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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