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Simplifying 5n + -1(8n + -2) = -31 Reorder the terms: 5n + -1(-2 + 8n) = -31 5n + (-2 * -1 + 8n * -1) = -31 5n + (2 + -8n) = -31 Reorder the terms: 2 + 5n + -8n = -31 Combine like terms: 5n + -8n = -3n 2 + -3n = -31 Solving 2 + -3n = -31 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 + -3n = -31 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = -31 + -2 -3n = -31 + -2 Combine like terms: -31 + -2 = -33 -3n = -33 Divide each side by '-3'. n = 11 Simplifying n = 11
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