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Simplifying 8z + 5i = 4 + -1z + i Reorder the terms: 5i + 8z = 4 + -1z + i Reorder the terms: 5i + 8z = 4 + i + -1z Solving 5i + 8z = 4 + i + -1z Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 5i + -1i + 8z = 4 + i + -1i + -1z Combine like terms: 5i + -1i = 4i 4i + 8z = 4 + i + -1i + -1z Combine like terms: i + -1i = 0 4i + 8z = 4 + 0 + -1z 4i + 8z = 4 + -1z Add '-8z' to each side of the equation. 4i + 8z + -8z = 4 + -1z + -8z Combine like terms: 8z + -8z = 0 4i + 0 = 4 + -1z + -8z 4i = 4 + -1z + -8z Combine like terms: -1z + -8z = -9z 4i = 4 + -9z Divide each side by '4'. i = 1 + -2.25z Simplifying i = 1 + -2.25z
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