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Simplifying 5.50c + 3.50c + 6.00 = 51 Reorder the terms: 6.00 + 5.50c + 3.50c = 51 Combine like terms: 5.50c + 3.50c = 9c 6.00 + 9c = 51 Solving 6.00 + 9c = 51 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6.00' to each side of the equation. 6.00 + -6.00 + 9c = 51 + -6.00 Combine like terms: 6.00 + -6.00 = 0.00 0.00 + 9c = 51 + -6.00 9c = 51 + -6.00 Combine like terms: 51 + -6.00 = 45 9c = 45 Divide each side by '9'. c = 5 Simplifying c = 5
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