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Simplifying 9 + 12i = ex + 4yi Solving 9 + 12i = ex + 4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4iy' to each side of the equation. 9 + 12i + -4iy = ex + 4iy + -4iy Combine like terms: 4iy + -4iy = 0 9 + 12i + -4iy = ex + 0 9 + 12i + -4iy = ex Add '-9' to each side of the equation. 9 + 12i + -9 + -4iy = -9 + ex Reorder the terms: 9 + -9 + 12i + -4iy = -9 + ex Combine like terms: 9 + -9 = 0 0 + 12i + -4iy = -9 + ex 12i + -4iy = -9 + ex Reorder the terms: 9 + -1ex + 12i + -4iy = -9 + ex + 9 + -1ex Reorder the terms: 9 + -1ex + 12i + -4iy = -9 + 9 + ex + -1ex Combine like terms: -9 + 9 = 0 9 + -1ex + 12i + -4iy = 0 + ex + -1ex 9 + -1ex + 12i + -4iy = ex + -1ex Combine like terms: ex + -1ex = 0 9 + -1ex + 12i + -4iy = 0 The solution to this equation could not be determined.
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