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