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Simplifying (-12 + 48i) + (15 + 21i) = 0 Remove parenthesis around (-12 + 48i) -12 + 48i + (15 + 21i) = 0 Remove parenthesis around (15 + 21i) -12 + 48i + 15 + 21i = 0 Reorder the terms: -12 + 15 + 48i + 21i = 0 Combine like terms: -12 + 15 = 3 3 + 48i + 21i = 0 Combine like terms: 48i + 21i = 69i 3 + 69i = 0 Solving 3 + 69i = 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 + 69i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 69i = 0 + -3 69i = 0 + -3 Combine like terms: 0 + -3 = -3 69i = -3 Divide each side by '69'. i = -0.04347826087 Simplifying i = -0.04347826087
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