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