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Simplifying 8n + -6 = 3n + -21 Reorder the terms: -6 + 8n = 3n + -21 Reorder the terms: -6 + 8n = -21 + 3n Solving -6 + 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. -6 + 8n + -3n = -21 + 3n + -3n Combine like terms: 8n + -3n = 5n -6 + 5n = -21 + 3n + -3n Combine like terms: 3n + -3n = 0 -6 + 5n = -21 + 0 -6 + 5n = -21 Add '6' to each side of the equation. -6 + 6 + 5n = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 5n = -21 + 6 5n = -21 + 6 Combine like terms: -21 + 6 = -15 5n = -15 Divide each side by '5'. n = -3 Simplifying n = -3
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