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Simplifying 6n + 3(1 + -1n) = -21 + -5n 6n + (1 * 3 + -1n * 3) = -21 + -5n 6n + (3 + -3n) = -21 + -5n Reorder the terms: 3 + 6n + -3n = -21 + -5n Combine like terms: 6n + -3n = 3n 3 + 3n = -21 + -5n Solving 3 + 3n = -21 + -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. 3 + 3n + 5n = -21 + -5n + 5n Combine like terms: 3n + 5n = 8n 3 + 8n = -21 + -5n + 5n Combine like terms: -5n + 5n = 0 3 + 8n = -21 + 0 3 + 8n = -21 Add '-3' to each side of the equation. 3 + -3 + 8n = -21 + -3 Combine like terms: 3 + -3 = 0 0 + 8n = -21 + -3 8n = -21 + -3 Combine like terms: -21 + -3 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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