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Simplifying 3i + -2z = (z + 7) * i + -7 Reorder the terms: 3i + -2z = (7 + z) * i + -7 Reorder the terms for easier multiplication: 3i + -2z = i(7 + z) + -7 3i + -2z = (7 * i + z * i) + -7 3i + -2z = (7i + iz) + -7 Reorder the terms: 3i + -2z = -7 + 7i + iz Solving 3i + -2z = -7 + 7i + iz Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. 3i + -7i + -2z = -7 + 7i + -7i + iz Combine like terms: 3i + -7i = -4i -4i + -2z = -7 + 7i + -7i + iz Combine like terms: 7i + -7i = 0 -4i + -2z = -7 + 0 + iz -4i + -2z = -7 + iz Add '-1iz' to each side of the equation. -4i + -1iz + -2z = -7 + iz + -1iz Combine like terms: iz + -1iz = 0 -4i + -1iz + -2z = -7 + 0 -4i + -1iz + -2z = -7 Add '2z' to each side of the equation. -4i + -1iz + -2z + 2z = -7 + 2z Combine like terms: -2z + 2z = 0 -4i + -1iz + 0 = -7 + 2z -4i + -1iz = -7 + 2z Reorder the terms: 7 + -4i + -1iz + -2z = -7 + 2z + 7 + -2z Reorder the terms: 7 + -4i + -1iz + -2z = -7 + 7 + 2z + -2z Combine like terms: -7 + 7 = 0 7 + -4i + -1iz + -2z = 0 + 2z + -2z 7 + -4i + -1iz + -2z = 2z + -2z Combine like terms: 2z + -2z = 0 7 + -4i + -1iz + -2z = 0 The solution to this equation could not be determined.
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