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Simplifying -5(6n + -6) = -36 + -8n Reorder the terms: -5(-6 + 6n) = -36 + -8n (-6 * -5 + 6n * -5) = -36 + -8n (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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