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Simplifying 4c + 5d + -2c + 3e = 0 Reorder the terms: 4c + -2c + 5d + 3e = 0 Combine like terms: 4c + -2c = 2c 2c + 5d + 3e = 0 Solving 2c + 5d + 3e = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. 2c + 5d + -5d + 3e = 0 + -5d Combine like terms: 5d + -5d = 0 2c + 0 + 3e = 0 + -5d 2c + 3e = 0 + -5d Remove the zero: 2c + 3e = -5d Add '-3e' to each side of the equation. 2c + 3e + -3e = -5d + -3e Combine like terms: 3e + -3e = 0 2c + 0 = -5d + -3e 2c = -5d + -3e Divide each side by '2'. c = -2.5d + -1.5e Simplifying c = -2.5d + -1.5e
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