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Simplifying 4 + (x + 9y) * i = x + 13i Reorder the terms for easier multiplication: 4 + i(x + 9y) = x + 13i 4 + (x * i + 9y * i) = x + 13i 4 + (ix + 9iy) = x + 13i Reorder the terms: 4 + ix + 9iy = 13i + x Solving 4 + ix + 9iy = 13i + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13i' to each side of the equation. 4 + ix + -13i + 9iy = 13i + -13i + x Reorder the terms: 4 + -13i + ix + 9iy = 13i + -13i + x Combine like terms: 13i + -13i = 0 4 + -13i + ix + 9iy = 0 + x 4 + -13i + ix + 9iy = x Add '-4' to each side of the equation. 4 + -13i + ix + -4 + 9iy = -4 + x Reorder the terms: 4 + -4 + -13i + ix + 9iy = -4 + x Combine like terms: 4 + -4 = 0 0 + -13i + ix + 9iy = -4 + x -13i + ix + 9iy = -4 + x Reorder the terms: 4 + -13i + ix + 9iy + -1x = -4 + x + 4 + -1x Reorder the terms: 4 + -13i + ix + 9iy + -1x = -4 + 4 + x + -1x Combine like terms: -4 + 4 = 0 4 + -13i + ix + 9iy + -1x = 0 + x + -1x 4 + -13i + ix + 9iy + -1x = x + -1x Combine like terms: x + -1x = 0 4 + -13i + ix + 9iy + -1x = 0 The solution to this equation could not be determined.
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