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