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Simplifying 5 + -1(-19 + 2i) = 0 5 + (-19 * -1 + 2i * -1) = 0 5 + (19 + -2i) = 0 Combine like terms: 5 + 19 = 24 24 + -2i = 0 Solving 24 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2i = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2i = 0 + -24 -2i = 0 + -24 Combine like terms: 0 + -24 = -24 -2i = -24 Divide each side by '-2'. i = 12 Simplifying i = 12
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