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Simplifying 3.50n + 6 + 5.50n = 51 Reorder the terms: 6 + 3.50n + 5.50n = 51 Combine like terms: 3.50n + 5.50n = 9n 6 + 9n = 51 Solving 6 + 9n = 51 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9n = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 9n = 51 + -6 9n = 51 + -6 Combine like terms: 51 + -6 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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