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Simplifying (-4 + -1i) + (-3 + -7i) = 0 Remove parenthesis around (-4 + -1i) -4 + -1i + (-3 + -7i) = 0 Remove parenthesis around (-3 + -7i) -4 + -1i + -3 + -7i = 0 Reorder the terms: -4 + -3 + -1i + -7i = 0 Combine like terms: -4 + -3 = -7 -7 + -1i + -7i = 0 Combine like terms: -1i + -7i = -8i -7 + -8i = 0 Solving -7 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8i = 0 + 7 -8i = 0 + 7 Combine like terms: 0 + 7 = 7 -8i = 7 Divide each side by '-8'. i = -0.875 Simplifying i = -0.875
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