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Simplifying 3c + 2d = 5c + -1d Solving 3c + 2d = 5c + -1d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 3c + -5c + 2d = 5c + -5c + -1d Combine like terms: 3c + -5c = -2c -2c + 2d = 5c + -5c + -1d Combine like terms: 5c + -5c = 0 -2c + 2d = 0 + -1d -2c + 2d = -1d Add '-2d' to each side of the equation. -2c + 2d + -2d = -1d + -2d Combine like terms: 2d + -2d = 0 -2c + 0 = -1d + -2d -2c = -1d + -2d Combine like terms: -1d + -2d = -3d -2c = -3d Divide each side by '-2'. c = 1.5d Simplifying c = 1.5d
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