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Simplifying 0 + 15i + -1(12 + -11i) = 0 0 + 15i + (12 * -1 + -11i * -1) = 0 0 + 15i + (-12 + 11i) = 0 Reorder the terms: 0 + -12 + 15i + 11i = 0 Combine like terms: 0 + -12 = -12 -12 + 15i + 11i = 0 Combine like terms: 15i + 11i = 26i -12 + 26i = 0 Solving -12 + 26i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 26i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 26i = 0 + 12 26i = 0 + 12 Combine like terms: 0 + 12 = 12 26i = 12 Divide each side by '26'. i = 0.4615384615 Simplifying i = 0.4615384615
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