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Simplifying Cd + 4a + 5cd + -1z = 0 Reorder the terms: 4a + 5cd + dC + -1z = 0 Solving 4a + 5cd + dC + -1z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5cd' to each side of the equation. 4a + 5cd + dC + -5cd + -1z = 0 + -5cd Reorder the terms: 4a + 5cd + -5cd + dC + -1z = 0 + -5cd Combine like terms: 5cd + -5cd = 0 4a + 0 + dC + -1z = 0 + -5cd 4a + dC + -1z = 0 + -5cd Remove the zero: 4a + dC + -1z = -5cd Add '-1dC' to each side of the equation. 4a + dC + -1dC + -1z = -5cd + -1dC Combine like terms: dC + -1dC = 0 4a + 0 + -1z = -5cd + -1dC 4a + -1z = -5cd + -1dC Add 'z' to each side of the equation. 4a + -1z + z = -5cd + -1dC + z Combine like terms: -1z + z = 0 4a + 0 = -5cd + -1dC + z 4a = -5cd + -1dC + z Divide each side by '4'. a = -1.25cd + -0.25dC + 0.25z Simplifying a = -1.25cd + -0.25dC + 0.25z
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