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Simplifying -84 = -3n + -1(8n + 7) Reorder the terms: -84 = -3n + -1(7 + 8n) -84 = -3n + (7 * -1 + 8n * -1) -84 = -3n + (-7 + -8n) Reorder the terms: -84 = -7 + -3n + -8n Combine like terms: -3n + -8n = -11n -84 = -7 + -11n Solving -84 = -7 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. -84 + 11n = -7 + -11n + 11n Combine like terms: -11n + 11n = 0 -84 + 11n = -7 + 0 -84 + 11n = -7 Add '84' to each side of the equation. -84 + 84 + 11n = -7 + 84 Combine like terms: -84 + 84 = 0 0 + 11n = -7 + 84 11n = -7 + 84 Combine like terms: -7 + 84 = 77 11n = 77 Divide each side by '11'. n = 7 Simplifying n = 7
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