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Simplifying (-2i) + -1(7 + -3i) = 0 (-2i) + (7 * -1 + -3i * -1) = 0 (-2i) + (-7 + 3i) = 0 Reorder the terms: -7 + (-2i) + 3i = 0 Combine like terms: (-2i) + 3i = 1i -7 + 1i = 0 Solving -7 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1i = 0 + 7 1i = 0 + 7 Combine like terms: 0 + 7 = 7 1i = 7 Divide each side by '1'. i = 7 Simplifying i = 7
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