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Simplifying 2c + -1d = 3d + -2c Reorder the terms: 2c + -1d = -2c + 3d Solving 2c + -1d = -2c + 3d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 2c + 2c + -1d = -2c + 2c + 3d Combine like terms: 2c + 2c = 4c 4c + -1d = -2c + 2c + 3d Combine like terms: -2c + 2c = 0 4c + -1d = 0 + 3d 4c + -1d = 3d Add 'd' to each side of the equation. 4c + -1d + d = 3d + d Combine like terms: -1d + d = 0 4c + 0 = 3d + d 4c = 3d + d Combine like terms: 3d + d = 4d 4c = 4d Divide each side by '4'. c = d Simplifying c = d
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