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Simplifying 5(z + i) = 10 + -5i Reorder the terms: 5(i + z) = 10 + -5i (i * 5 + z * 5) = 10 + -5i (5i + 5z) = 10 + -5i Solving 5i + 5z = 10 + -5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5i' to each side of the equation. 5i + 5i + 5z = 10 + -5i + 5i Combine like terms: 5i + 5i = 10i 10i + 5z = 10 + -5i + 5i Combine like terms: -5i + 5i = 0 10i + 5z = 10 + 0 10i + 5z = 10 Add '-5z' to each side of the equation. 10i + 5z + -5z = 10 + -5z Combine like terms: 5z + -5z = 0 10i + 0 = 10 + -5z 10i = 10 + -5z Divide each side by '10'. i = 1 + -0.5z Simplifying i = 1 + -0.5z
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