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Simplifying 3n + 5(n + -7) = -51 Reorder the terms: 3n + 5(-7 + n) = -51 3n + (-7 * 5 + n * 5) = -51 3n + (-35 + 5n) = -51 Reorder the terms: -35 + 3n + 5n = -51 Combine like terms: 3n + 5n = 8n -35 + 8n = -51 Solving -35 + 8n = -51 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 8n = -51 + 35 Combine like terms: -35 + 35 = 0 0 + 8n = -51 + 35 8n = -51 + 35 Combine like terms: -51 + 35 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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