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Simplifying (-6 + -7i) + (2 + 6i) = 0 Remove parenthesis around (-6 + -7i) -6 + -7i + (2 + 6i) = 0 Remove parenthesis around (2 + 6i) -6 + -7i + 2 + 6i = 0 Reorder the terms: -6 + 2 + -7i + 6i = 0 Combine like terms: -6 + 2 = -4 -4 + -7i + 6i = 0 Combine like terms: -7i + 6i = -1i -4 + -1i = 0 Solving -4 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1i = 0 + 4 -1i = 0 + 4 Combine like terms: 0 + 4 = 4 -1i = 4 Divide each side by '-1'. i = -4 Simplifying i = -4
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