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Simplifying 4(5n + 1) = -2(4n + 1) + -8 Reorder the terms: 4(1 + 5n) = -2(4n + 1) + -8 (1 * 4 + 5n * 4) = -2(4n + 1) + -8 (4 + 20n) = -2(4n + 1) + -8 Reorder the terms: 4 + 20n = -2(1 + 4n) + -8 4 + 20n = (1 * -2 + 4n * -2) + -8 4 + 20n = (-2 + -8n) + -8 Reorder the terms: 4 + 20n = -2 + -8 + -8n Combine like terms: -2 + -8 = -10 4 + 20n = -10 + -8n Solving 4 + 20n = -10 + -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. 4 + 20n + 8n = -10 + -8n + 8n Combine like terms: 20n + 8n = 28n 4 + 28n = -10 + -8n + 8n Combine like terms: -8n + 8n = 0 4 + 28n = -10 + 0 4 + 28n = -10 Add '-4' to each side of the equation. 4 + -4 + 28n = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 28n = -10 + -4 28n = -10 + -4 Combine like terms: -10 + -4 = -14 28n = -14 Divide each side by '28'. n = -0.5 Simplifying n = -0.5
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