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Simplifying -84 = -4(n + 7) + -4n Reorder the terms: -84 = -4(7 + n) + -4n -84 = (7 * -4 + n * -4) + -4n -84 = (-28 + -4n) + -4n Combine like terms: -4n + -4n = -8n -84 = -28 + -8n Solving -84 = -28 + -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 = -28 + -8n + 8n Combine like terms: -8n + 8n = 0 -84 + 8n = -28 + 0 -84 + 8n = -28 Add '84' to each side of the equation. -84 + 84 + 8n = -28 + 84 Combine like terms: -84 + 84 = 0 0 + 8n = -28 + 84 8n = -28 + 84 Combine like terms: -28 + 84 = 56 8n = 56 Divide each side by '8'. n = 7 Simplifying n = 7
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