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Simplifying 5z + -12i = iz + 7 + i Reorder the terms: -12i + 5z = iz + 7 + i Reorder the terms: -12i + 5z = 7 + i + iz Solving -12i + 5z = 7 + i + iz 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. -12i + -1i + 5z = 7 + i + -1i + iz Combine like terms: -12i + -1i = -13i -13i + 5z = 7 + i + -1i + iz Combine like terms: i + -1i = 0 -13i + 5z = 7 + 0 + iz -13i + 5z = 7 + iz Add '-1iz' to each side of the equation. -13i + -1iz + 5z = 7 + iz + -1iz Combine like terms: iz + -1iz = 0 -13i + -1iz + 5z = 7 + 0 -13i + -1iz + 5z = 7 Add '-5z' to each side of the equation. -13i + -1iz + 5z + -5z = 7 + -5z Combine like terms: 5z + -5z = 0 -13i + -1iz + 0 = 7 + -5z -13i + -1iz = 7 + -5z Reorder the terms: -7 + -13i + -1iz + 5z = 7 + -5z + -7 + 5z Reorder the terms: -7 + -13i + -1iz + 5z = 7 + -7 + -5z + 5z Combine like terms: 7 + -7 = 0 -7 + -13i + -1iz + 5z = 0 + -5z + 5z -7 + -13i + -1iz + 5z = -5z + 5z Combine like terms: -5z + 5z = 0 -7 + -13i + -1iz + 5z = 0 The solution to this equation could not be determined.
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