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Simplifying 6(5n + 7) = -24 + 8n Reorder the terms: 6(7 + 5n) = -24 + 8n (7 * 6 + 5n * 6) = -24 + 8n (42 + 30n) = -24 + 8n Solving 42 + 30n = -24 + 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. 42 + 30n + -8n = -24 + 8n + -8n Combine like terms: 30n + -8n = 22n 42 + 22n = -24 + 8n + -8n Combine like terms: 8n + -8n = 0 42 + 22n = -24 + 0 42 + 22n = -24 Add '-42' to each side of the equation. 42 + -42 + 22n = -24 + -42 Combine like terms: 42 + -42 = 0 0 + 22n = -24 + -42 22n = -24 + -42 Combine like terms: -24 + -42 = -66 22n = -66 Divide each side by '22'. n = -3 Simplifying n = -3
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