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Simplifying 4(1 + -5n) + 8n = -2n + -2(1 + 6n) (1 * 4 + -5n * 4) + 8n = -2n + -2(1 + 6n) (4 + -20n) + 8n = -2n + -2(1 + 6n) Combine like terms: -20n + 8n = -12n 4 + -12n = -2n + -2(1 + 6n) 4 + -12n = -2n + (1 * -2 + 6n * -2) 4 + -12n = -2n + (-2 + -12n) Reorder the terms: 4 + -12n = -2 + -2n + -12n Combine like terms: -2n + -12n = -14n 4 + -12n = -2 + -14n Solving 4 + -12n = -2 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 4 + -12n + 14n = -2 + -14n + 14n Combine like terms: -12n + 14n = 2n 4 + 2n = -2 + -14n + 14n Combine like terms: -14n + 14n = 0 4 + 2n = -2 + 0 4 + 2n = -2 Add '-4' to each side of the equation. 4 + -4 + 2n = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = -2 + -4 2n = -2 + -4 Combine like terms: -2 + -4 = -6 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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