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Simplifying -8n + 21 = 3(1 + -3n) + -2 Reorder the terms: 21 + -8n = 3(1 + -3n) + -2 21 + -8n = (1 * 3 + -3n * 3) + -2 21 + -8n = (3 + -9n) + -2 Reorder the terms: 21 + -8n = 3 + -2 + -9n Combine like terms: 3 + -2 = 1 21 + -8n = 1 + -9n Solving 21 + -8n = 1 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 21 + -8n + 9n = 1 + -9n + 9n Combine like terms: -8n + 9n = 1n 21 + 1n = 1 + -9n + 9n Combine like terms: -9n + 9n = 0 21 + 1n = 1 + 0 21 + 1n = 1 Add '-21' to each side of the equation. 21 + -21 + 1n = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 1n = 1 + -21 1n = 1 + -21 Combine like terms: 1 + -21 = -20 1n = -20 Divide each side by '1'. n = -20 Simplifying n = -20
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