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Simplifying (16 + 4i) + -1(44 + 5i) = 0 Remove parenthesis around (16 + 4i) 16 + 4i + -1(44 + 5i) = 0 16 + 4i + (44 * -1 + 5i * -1) = 0 16 + 4i + (-44 + -5i) = 0 Reorder the terms: 16 + -44 + 4i + -5i = 0 Combine like terms: 16 + -44 = -28 -28 + 4i + -5i = 0 Combine like terms: 4i + -5i = -1i -28 + -1i = 0 Solving -28 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1i = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1i = 0 + 28 -1i = 0 + 28 Combine like terms: 0 + 28 = 28 -1i = 28 Divide each side by '-1'. i = -28 Simplifying i = -28
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