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Simplifying 3(2n + 3) = 8n + -3(n + -3) Reorder the terms: 3(3 + 2n) = 8n + -3(n + -3) (3 * 3 + 2n * 3) = 8n + -3(n + -3) (9 + 6n) = 8n + -3(n + -3) Reorder the terms: 9 + 6n = 8n + -3(-3 + n) 9 + 6n = 8n + (-3 * -3 + n * -3) 9 + 6n = 8n + (9 + -3n) Reorder the terms: 9 + 6n = 9 + 8n + -3n Combine like terms: 8n + -3n = 5n 9 + 6n = 9 + 5n Add '-9' to each side of the equation. 9 + -9 + 6n = 9 + -9 + 5n Combine like terms: 9 + -9 = 0 0 + 6n = 9 + -9 + 5n 6n = 9 + -9 + 5n Combine like terms: 9 + -9 = 0 6n = 0 + 5n 6n = 5n Solving 6n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 6n + -5n = 5n + -5n Combine like terms: 6n + -5n = 1n 1n = 5n + -5n Combine like terms: 5n + -5n = 0 1n = 0 Divide each side by '1'. n = 0 Simplifying n = 0
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