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Simplifying (-6 + -9i) + -1(-8 + -4i) + -3 + 7i = 0 Remove parenthesis around (-6 + -9i) -6 + -9i + -1(-8 + -4i) + -3 + 7i = 0 -6 + -9i + (-8 * -1 + -4i * -1) + -3 + 7i = 0 -6 + -9i + (8 + 4i) + -3 + 7i = 0 Reorder the terms: -6 + 8 + -3 + -9i + 4i + 7i = 0 Combine like terms: -6 + 8 = 2 2 + -3 + -9i + 4i + 7i = 0 Combine like terms: 2 + -3 = -1 -1 + -9i + 4i + 7i = 0 Combine like terms: -9i + 4i = -5i -1 + -5i + 7i = 0 Combine like terms: -5i + 7i = 2i -1 + 2i = 0 Solving -1 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2i = 0 + 1 2i = 0 + 1 Combine like terms: 0 + 1 = 1 2i = 1 Divide each side by '2'. i = 0.5 Simplifying i = 0.5
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