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Simplifying 3 + -1(-8n + -1) = 3n + -21 Reorder the terms: 3 + -1(-1 + -8n) = 3n + -21 3 + (-1 * -1 + -8n * -1) = 3n + -21 3 + (1 + 8n) = 3n + -21 Combine like terms: 3 + 1 = 4 4 + 8n = 3n + -21 Reorder the terms: 4 + 8n = -21 + 3n Solving 4 + 8n = -21 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + 8n + -3n = -21 + 3n + -3n Combine like terms: 8n + -3n = 5n 4 + 5n = -21 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 5n = -21 + 0 4 + 5n = -21 Add '-4' to each side of the equation. 4 + -4 + 5n = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = -21 + -4 5n = -21 + -4 Combine like terms: -21 + -4 = -25 5n = -25 Divide each side by '5'. n = -5 Simplifying n = -5
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