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Simplifying -1i + -3 + -1(6 + -4i) + -1(3 + -7i) = 0 -1i + -3 + (6 * -1 + -4i * -1) + -1(3 + -7i) = 0 -1i + -3 + (-6 + 4i) + -1(3 + -7i) = 0 -1i + -3 + -6 + 4i + (3 * -1 + -7i * -1) = 0 -1i + -3 + -6 + 4i + (-3 + 7i) = 0 Reorder the terms: -3 + -6 + -3 + -1i + 4i + 7i = 0 Combine like terms: -3 + -6 = -9 -9 + -3 + -1i + 4i + 7i = 0 Combine like terms: -9 + -3 = -12 -12 + -1i + 4i + 7i = 0 Combine like terms: -1i + 4i = 3i -12 + 3i + 7i = 0 Combine like terms: 3i + 7i = 10i -12 + 10i = 0 Solving -12 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 10i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 10i = 0 + 12 10i = 0 + 12 Combine like terms: 0 + 12 = 12 10i = 12 Divide each side by '10'. i = 1.2 Simplifying i = 1.2
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