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Simplifying -51 + -4(1 + -2n) + -3n = 0 -51 + (1 * -4 + -2n * -4) + -3n = 0 -51 + (-4 + 8n) + -3n = 0 Combine like terms: -51 + -4 = -55 -55 + 8n + -3n = 0 Combine like terms: 8n + -3n = 5n -55 + 5n = 0 Solving -55 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 5n = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 5n = 0 + 55 5n = 0 + 55 Combine like terms: 0 + 55 = 55 5n = 55 Divide each side by '5'. n = 11 Simplifying n = 11
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