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Simplifying (7x + -5yi) + -1(9 + -4i) = -2i + 15 Reorder the terms: (-5iy + 7x) + -1(9 + -4i) = -2i + 15 Remove parenthesis around (-5iy + 7x) -5iy + 7x + -1(9 + -4i) = -2i + 15 -5iy + 7x + (9 * -1 + -4i * -1) = -2i + 15 -5iy + 7x + (-9 + 4i) = -2i + 15 Reorder the terms: -9 + 4i + -5iy + 7x = -2i + 15 Reorder the terms: -9 + 4i + -5iy + 7x = 15 + -2i Solving -9 + 4i + -5iy + 7x = 15 + -2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2i' to each side of the equation. -9 + 4i + -5iy + 2i + 7x = 15 + -2i + 2i Reorder the terms: -9 + 4i + 2i + -5iy + 7x = 15 + -2i + 2i Combine like terms: 4i + 2i = 6i -9 + 6i + -5iy + 7x = 15 + -2i + 2i Combine like terms: -2i + 2i = 0 -9 + 6i + -5iy + 7x = 15 + 0 -9 + 6i + -5iy + 7x = 15 Add '9' to each side of the equation. -9 + 6i + -5iy + 9 + 7x = 15 + 9 Reorder the terms: -9 + 9 + 6i + -5iy + 7x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 6i + -5iy + 7x = 15 + 9 6i + -5iy + 7x = 15 + 9 Combine like terms: 15 + 9 = 24 6i + -5iy + 7x = 24 Add '-7x' to each side of the equation. 6i + -5iy + 7x + -7x = 24 + -7x Combine like terms: 7x + -7x = 0 6i + -5iy + 0 = 24 + -7x 6i + -5iy = 24 + -7x Reorder the terms: -24 + 6i + -5iy + 7x = 24 + -7x + -24 + 7x Reorder the terms: -24 + 6i + -5iy + 7x = 24 + -24 + -7x + 7x Combine like terms: 24 + -24 = 0 -24 + 6i + -5iy + 7x = 0 + -7x + 7x -24 + 6i + -5iy + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 -24 + 6i + -5iy + 7x = 0 The solution to this equation could not be determined.
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