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Simplifying 4z + -5i = 10 + -1z Reorder the terms: -5i + 4z = 10 + -1z Solving -5i + 4z = 10 + -1z Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4z' to each side of the equation. -5i + 4z + -4z = 10 + -1z + -4z Combine like terms: 4z + -4z = 0 -5i + 0 = 10 + -1z + -4z -5i = 10 + -1z + -4z Combine like terms: -1z + -4z = -5z -5i = 10 + -5z Divide each side by '-5'. i = -2 + z Simplifying i = -2 + z
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