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Simplifying 4(5n + 1) + -2n = -86 Reorder the terms: 4(1 + 5n) + -2n = -86 (1 * 4 + 5n * 4) + -2n = -86 (4 + 20n) + -2n = -86 Combine like terms: 20n + -2n = 18n 4 + 18n = -86 Solving 4 + 18n = -86 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 18n = -86 + -4 Combine like terms: 4 + -4 = 0 0 + 18n = -86 + -4 18n = -86 + -4 Combine like terms: -86 + -4 = -90 18n = -90 Divide each side by '18'. n = -5 Simplifying n = -5
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