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Simplifying (-4 + -5i) + -1(-11 + -3i) = 0 Remove parenthesis around (-4 + -5i) -4 + -5i + -1(-11 + -3i) = 0 -4 + -5i + (-11 * -1 + -3i * -1) = 0 -4 + -5i + (11 + 3i) = 0 Reorder the terms: -4 + 11 + -5i + 3i = 0 Combine like terms: -4 + 11 = 7 7 + -5i + 3i = 0 Combine like terms: -5i + 3i = -2i 7 + -2i = 0 Solving 7 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2i = 0 + -7 -2i = 0 + -7 Combine like terms: 0 + -7 = -7 -2i = -7 Divide each side by '-2'. i = 3.5 Simplifying i = 3.5
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