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Simplifying z(c + d) + 2c + -3d = 4 (c * z + d * z) + 2c + -3d = 4 (cz + dz) + 2c + -3d = 4 Reorder the terms: 2c + cz + -3d + dz = 4 Solving 2c + cz + -3d + dz = 4 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3d' to each side of the equation. 2c + cz + -3d + 3d + dz = 4 + 3d Combine like terms: -3d + 3d = 0 2c + cz + 0 + dz = 4 + 3d 2c + cz + dz = 4 + 3d Add '-1dz' to each side of the equation. 2c + cz + dz + -1dz = 4 + 3d + -1dz Combine like terms: dz + -1dz = 0 2c + cz + 0 = 4 + 3d + -1dz 2c + cz = 4 + 3d + -1dz Reorder the terms: -4 + 2c + cz + -3d + dz = 4 + 3d + -1dz + -4 + -3d + dz Reorder the terms: -4 + 2c + cz + -3d + dz = 4 + -4 + 3d + -3d + -1dz + dz Combine like terms: 4 + -4 = 0 -4 + 2c + cz + -3d + dz = 0 + 3d + -3d + -1dz + dz -4 + 2c + cz + -3d + dz = 3d + -3d + -1dz + dz Combine like terms: 3d + -3d = 0 -4 + 2c + cz + -3d + dz = 0 + -1dz + dz -4 + 2c + cz + -3d + dz = -1dz + dz Combine like terms: -1dz + dz = 0 -4 + 2c + cz + -3d + dz = 0 The solution to this equation could not be determined.
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