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Simplifying 5n + -4(3 + -2n) = -51 5n + (3 * -4 + -2n * -4) = -51 5n + (-12 + 8n) = -51 Reorder the terms: -12 + 5n + 8n = -51 Combine like terms: 5n + 8n = 13n -12 + 13n = -51 Solving -12 + 13n = -51 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 13n = -51 + 12 Combine like terms: -12 + 12 = 0 0 + 13n = -51 + 12 13n = -51 + 12 Combine like terms: -51 + 12 = -39 13n = -39 Divide each side by '13'. n = -3 Simplifying n = -3
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