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Simplifying 4(n + 1) = -4(n + 5) Reorder the terms: 4(1 + n) = -4(n + 5) (1 * 4 + n * 4) = -4(n + 5) (4 + 4n) = -4(n + 5) Reorder the terms: 4 + 4n = -4(5 + n) 4 + 4n = (5 * -4 + n * -4) 4 + 4n = (-20 + -4n) Solving 4 + 4n = -20 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 4 + 4n + 4n = -20 + -4n + 4n Combine like terms: 4n + 4n = 8n 4 + 8n = -20 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + 8n = -20 + 0 4 + 8n = -20 Add '-4' to each side of the equation. 4 + -4 + 8n = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 8n = -20 + -4 8n = -20 + -4 Combine like terms: -20 + -4 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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