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Simplifying -1n + -5(-1n + -4) = -1(8n + -1) Reorder the terms: -1n + -5(-4 + -1n) = -1(8n + -1) -1n + (-4 * -5 + -1n * -5) = -1(8n + -1) -1n + (20 + 5n) = -1(8n + -1) Reorder the terms: 20 + -1n + 5n = -1(8n + -1) Combine like terms: -1n + 5n = 4n 20 + 4n = -1(8n + -1) Reorder the terms: 20 + 4n = -1(-1 + 8n) 20 + 4n = (-1 * -1 + 8n * -1) 20 + 4n = (1 + -8n) Solving 20 + 4n = 1 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 20 + 4n + 8n = 1 + -8n + 8n Combine like terms: 4n + 8n = 12n 20 + 12n = 1 + -8n + 8n Combine like terms: -8n + 8n = 0 20 + 12n = 1 + 0 20 + 12n = 1 Add '-20' to each side of the equation. 20 + -20 + 12n = 1 + -20 Combine like terms: 20 + -20 = 0 0 + 12n = 1 + -20 12n = 1 + -20 Combine like terms: 1 + -20 = -19 12n = -19 Divide each side by '12'. n = -1.583333333 Simplifying n = -1.583333333
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