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Simplifying 10 = 50i + 40c Reorder the terms: 10 = 40c + 50i Solving 10 = 40c + 50i Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40c' to each side of the equation. 10 + -40c = 40c + -40c + 50i Combine like terms: 40c + -40c = 0 10 + -40c = 0 + 50i 10 + -40c = 50i Add '-10' to each side of the equation. 10 + -10 + -40c = -10 + 50i Combine like terms: 10 + -10 = 0 0 + -40c = -10 + 50i -40c = -10 + 50i Divide each side by '-40'. c = 0.25 + -1.25i Simplifying c = 0.25 + -1.25i
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