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Simplifying -8n + 21 = 3(1 + -3n) + -2n Reorder the terms: 21 + -8n = 3(1 + -3n) + -2n 21 + -8n = (1 * 3 + -3n * 3) + -2n 21 + -8n = (3 + -9n) + -2n Combine like terms: -9n + -2n = -11n 21 + -8n = 3 + -11n Solving 21 + -8n = 3 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. 21 + -8n + 11n = 3 + -11n + 11n Combine like terms: -8n + 11n = 3n 21 + 3n = 3 + -11n + 11n Combine like terms: -11n + 11n = 0 21 + 3n = 3 + 0 21 + 3n = 3 Add '-21' to each side of the equation. 21 + -21 + 3n = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 3n = 3 + -21 3n = 3 + -21 Combine like terms: 3 + -21 = -18 3n = -18 Divide each side by '3'. n = -6 Simplifying n = -6
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