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Simplifying -5 + -5(-7 + -6n) = -36 + 8n -5 + (-7 * -5 + -6n * -5) = -36 + 8n -5 + (35 + 30n) = -36 + 8n Combine like terms: -5 + 35 = 30 30 + 30n = -36 + 8n Solving 30 + 30n = -36 + 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. 30 + 30n + -8n = -36 + 8n + -8n Combine like terms: 30n + -8n = 22n 30 + 22n = -36 + 8n + -8n Combine like terms: 8n + -8n = 0 30 + 22n = -36 + 0 30 + 22n = -36 Add '-30' to each side of the equation. 30 + -30 + 22n = -36 + -30 Combine like terms: 30 + -30 = 0 0 + 22n = -36 + -30 22n = -36 + -30 Combine like terms: -36 + -30 = -66 22n = -66 Divide each side by '22'. n = -3 Simplifying n = -3
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