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Simplifying 8 + CZ + 35 = (4Z + 7)(5) Reorder the terms: 8 + 35 + CZ = (4Z + 7)(5) Combine like terms: 8 + 35 = 43 43 + CZ = (4Z + 7)(5) Reorder the terms: 43 + CZ = (7 + 4Z)(5) Reorder the terms for easier multiplication: 43 + CZ = 5(7 + 4Z) 43 + CZ = (7 * 5 + 4Z * 5) 43 + CZ = (35 + 20Z) Solving 43 + CZ = 35 + 20Z Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + CZ = 35 + -43 + 20Z Combine like terms: 43 + -43 = 0 0 + CZ = 35 + -43 + 20Z CZ = 35 + -43 + 20Z Combine like terms: 35 + -43 = -8 CZ = -8 + 20Z Divide each side by 'Z'. C = -8Z-1 + 20 Simplifying C = -8Z-1 + 20 Reorder the terms: C = 20 + -8Z-1
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