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Simplifying 8n + -21 = 5n + -51 Reorder the terms: -21 + 8n = 5n + -51 Reorder the terms: -21 + 8n = -51 + 5n Solving -21 + 8n = -51 + 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. -21 + 8n + -5n = -51 + 5n + -5n Combine like terms: 8n + -5n = 3n -21 + 3n = -51 + 5n + -5n Combine like terms: 5n + -5n = 0 -21 + 3n = -51 + 0 -21 + 3n = -51 Add '21' to each side of the equation. -21 + 21 + 3n = -51 + 21 Combine like terms: -21 + 21 = 0 0 + 3n = -51 + 21 3n = -51 + 21 Combine like terms: -51 + 21 = -30 3n = -30 Divide each side by '3'. n = -10 Simplifying n = -10
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