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Simplifying Cz + -4c + 8 + -2z = 0 Reorder the terms: 8 + -4c + -2z + zC = 0 Solving 8 + -4c + -2z + zC = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -4c + -2z + -8 + zC = 0 + -8 Reorder the terms: 8 + -8 + -4c + -2z + zC = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4c + -2z + zC = 0 + -8 -4c + -2z + zC = 0 + -8 Combine like terms: 0 + -8 = -8 -4c + -2z + zC = -8 Add '2z' to each side of the equation. -4c + -2z + 2z + zC = -8 + 2z Combine like terms: -2z + 2z = 0 -4c + 0 + zC = -8 + 2z -4c + zC = -8 + 2z Add '-1zC' to each side of the equation. -4c + zC + -1zC = -8 + 2z + -1zC Combine like terms: zC + -1zC = 0 -4c + 0 = -8 + 2z + -1zC -4c = -8 + 2z + -1zC Divide each side by '-4'. c = 2 + -0.5z + 0.25zC Simplifying c = 2 + -0.5z + 0.25zC
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