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Simplifying (28 + -4i) + -1(10 + -30i) = 0 Remove parenthesis around (28 + -4i) 28 + -4i + -1(10 + -30i) = 0 28 + -4i + (10 * -1 + -30i * -1) = 0 28 + -4i + (-10 + 30i) = 0 Reorder the terms: 28 + -10 + -4i + 30i = 0 Combine like terms: 28 + -10 = 18 18 + -4i + 30i = 0 Combine like terms: -4i + 30i = 26i 18 + 26i = 0 Solving 18 + 26i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 26i = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 26i = 0 + -18 26i = 0 + -18 Combine like terms: 0 + -18 = -18 26i = -18 Divide each side by '26'. i = -0.6923076923 Simplifying i = -0.6923076923
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