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Simplifying -36 + 8n = 6(5n + 5) Reorder the terms: -36 + 8n = 6(5 + 5n) -36 + 8n = (5 * 6 + 5n * 6) -36 + 8n = (30 + 30n) Solving -36 + 8n = 30 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -36 + 8n + -30n = 30 + 30n + -30n Combine like terms: 8n + -30n = -22n -36 + -22n = 30 + 30n + -30n Combine like terms: 30n + -30n = 0 -36 + -22n = 30 + 0 -36 + -22n = 30 Add '36' to each side of the equation. -36 + 36 + -22n = 30 + 36 Combine like terms: -36 + 36 = 0 0 + -22n = 30 + 36 -22n = 30 + 36 Combine like terms: 30 + 36 = 66 -22n = 66 Divide each side by '-22'. n = -3 Simplifying n = -3
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