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Simplifying -84 = -4(2n + 5) Reorder the terms: -84 = -4(5 + 2n) -84 = (5 * -4 + 2n * -4) -84 = (-20 + -8n) Solving -84 = -20 + -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. -84 + 8n = -20 + -8n + 8n Combine like terms: -8n + 8n = 0 -84 + 8n = -20 + 0 -84 + 8n = -20 Add '84' to each side of the equation. -84 + 84 + 8n = -20 + 84 Combine like terms: -84 + 84 = 0 0 + 8n = -20 + 84 8n = -20 + 84 Combine like terms: -20 + 84 = 64 8n = 64 Divide each side by '8'. n = 8 Simplifying n = 8
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