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Simplifying (-12 + 48i) + (15 + 12i) = 0 Remove parenthesis around (-12 + 48i) -12 + 48i + (15 + 12i) = 0 Remove parenthesis around (15 + 12i) -12 + 48i + 15 + 12i = 0 Reorder the terms: -12 + 15 + 48i + 12i = 0 Combine like terms: -12 + 15 = 3 3 + 48i + 12i = 0 Combine like terms: 48i + 12i = 60i 3 + 60i = 0 Solving 3 + 60i = 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 + 60i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 60i = 0 + -3 60i = 0 + -3 Combine like terms: 0 + -3 = -3 60i = -3 Divide each side by '60'. i = -0.05 Simplifying i = -0.05
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