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Simplifying c + 0.1c + 0.01c + -0.001c = c + 0.545 Combine like terms: c + 0.1c = 1.1c 1.1c + 0.01c + -0.001c = c + 0.545 Combine like terms: 1.1c + 0.01c = 1.11c 1.11c + -0.001c = c + 0.545 Combine like terms: 1.11c + -0.001c = 1.109c 1.109c = c + 0.545 Reorder the terms: 1.109c = 0.545 + c Solving 1.109c = 0.545 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 1.109c + -1c = 0.545 + c + -1c Combine like terms: 1.109c + -1c = 0.109c 0.109c = 0.545 + c + -1c Combine like terms: c + -1c = 0 0.109c = 0.545 + 0 0.109c = 0.545 Divide each side by '0.109'. c = 5 Simplifying c = 5
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