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Simplifying c + 0.1c + 0.01 + -0.001 = c + 0.545 Reorder the terms: 0.01 + -0.001 + c + 0.1c = c + 0.545 Combine like terms: 0.01 + -0.001 = 0.009 0.009 + c + 0.1c = c + 0.545 Combine like terms: c + 0.1c = 1.1c 0.009 + 1.1c = c + 0.545 Reorder the terms: 0.009 + 1.1c = 0.545 + c Solving 0.009 + 1.1c = 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. 0.009 + 1.1c + -1c = 0.545 + c + -1c Combine like terms: 1.1c + -1c = 0.1c 0.009 + 0.1c = 0.545 + c + -1c Combine like terms: c + -1c = 0 0.009 + 0.1c = 0.545 + 0 0.009 + 0.1c = 0.545 Add '-0.009' to each side of the equation. 0.009 + -0.009 + 0.1c = 0.545 + -0.009 Combine like terms: 0.009 + -0.009 = 0.000 0.000 + 0.1c = 0.545 + -0.009 0.1c = 0.545 + -0.009 Combine like terms: 0.545 + -0.009 = 0.536 0.1c = 0.536 Divide each side by '0.1'. c = 5.36 Simplifying c = 5.36
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