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Simplifying -3x + -10i = -30 + 5yi Reorder the terms: -10i + -3x = -30 + 5yi Solving -10i + -3x = -30 + 5iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5iy' to each side of the equation. -10i + -5iy + -3x = -30 + 5iy + -5iy Combine like terms: 5iy + -5iy = 0 -10i + -5iy + -3x = -30 + 0 -10i + -5iy + -3x = -30 Add '3x' to each side of the equation. -10i + -5iy + -3x + 3x = -30 + 3x Combine like terms: -3x + 3x = 0 -10i + -5iy + 0 = -30 + 3x -10i + -5iy = -30 + 3x Reorder the terms: 30 + -10i + -5iy + -3x = -30 + 3x + 30 + -3x Reorder the terms: 30 + -10i + -5iy + -3x = -30 + 30 + 3x + -3x Combine like terms: -30 + 30 = 0 30 + -10i + -5iy + -3x = 0 + 3x + -3x 30 + -10i + -5iy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 30 + -10i + -5iy + -3x = 0 The solution to this equation could not be determined.
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