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Simplifying (-8 + -1i) + (4 + 2i) + -1(2 + -3i) = 0 Remove parenthesis around (-8 + -1i) -8 + -1i + (4 + 2i) + -1(2 + -3i) = 0 Remove parenthesis around (4 + 2i) -8 + -1i + 4 + 2i + -1(2 + -3i) = 0 -8 + -1i + 4 + 2i + (2 * -1 + -3i * -1) = 0 -8 + -1i + 4 + 2i + (-2 + 3i) = 0 Reorder the terms: -8 + 4 + -2 + -1i + 2i + 3i = 0 Combine like terms: -8 + 4 = -4 -4 + -2 + -1i + 2i + 3i = 0 Combine like terms: -4 + -2 = -6 -6 + -1i + 2i + 3i = 0 Combine like terms: -1i + 2i = 1i -6 + 1i + 3i = 0 Combine like terms: 1i + 3i = 4i -6 + 4i = 0 Solving -6 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4i = 0 + 6 4i = 0 + 6 Combine like terms: 0 + 6 = 6 4i = 6 Divide each side by '4'. i = 1.5 Simplifying i = 1.5
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