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Simplifying (-12 + 46i) + (15 + 4i) = 0 Remove parenthesis around (-12 + 46i) -12 + 46i + (15 + 4i) = 0 Remove parenthesis around (15 + 4i) -12 + 46i + 15 + 4i = 0 Reorder the terms: -12 + 15 + 46i + 4i = 0 Combine like terms: -12 + 15 = 3 3 + 46i + 4i = 0 Combine like terms: 46i + 4i = 50i 3 + 50i = 0 Solving 3 + 50i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 50i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 50i = 0 + -3 50i = 0 + -3 Combine like terms: 0 + -3 = -3 50i = -3 Divide each side by '50'. i = -0.06 Simplifying i = -0.06
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