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Simplifying (-7 + -1i) + -1(2 + 2i) = 0 Remove parenthesis around (-7 + -1i) -7 + -1i + -1(2 + 2i) = 0 -7 + -1i + (2 * -1 + 2i * -1) = 0 -7 + -1i + (-2 + -2i) = 0 Reorder the terms: -7 + -2 + -1i + -2i = 0 Combine like terms: -7 + -2 = -9 -9 + -1i + -2i = 0 Combine like terms: -1i + -2i = -3i -9 + -3i = 0 Solving -9 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -3i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3i = 0 + 9 -3i = 0 + 9 Combine like terms: 0 + 9 = 9 -3i = 9 Divide each side by '-3'. i = -3 Simplifying i = -3
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