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Simplifying (7 + -8i) + (-12 + -4i) = 0 Remove parenthesis around (7 + -8i) 7 + -8i + (-12 + -4i) = 0 Remove parenthesis around (-12 + -4i) 7 + -8i + -12 + -4i = 0 Reorder the terms: 7 + -12 + -8i + -4i = 0 Combine like terms: 7 + -12 = -5 -5 + -8i + -4i = 0 Combine like terms: -8i + -4i = -12i -5 + -12i = 0 Solving -5 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -12i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -12i = 0 + 5 -12i = 0 + 5 Combine like terms: 0 + 5 = 5 -12i = 5 Divide each side by '-12'. i = -0.4166666667 Simplifying i = -0.4166666667
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