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Simplifying (-4 + 6i) + -1(12 + -5i) = -16 + i Remove parenthesis around (-4 + 6i) -4 + 6i + -1(12 + -5i) = -16 + i -4 + 6i + (12 * -1 + -5i * -1) = -16 + i -4 + 6i + (-12 + 5i) = -16 + i Reorder the terms: -4 + -12 + 6i + 5i = -16 + i Combine like terms: -4 + -12 = -16 -16 + 6i + 5i = -16 + i Combine like terms: 6i + 5i = 11i -16 + 11i = -16 + i Add '16' to each side of the equation. -16 + 16 + 11i = -16 + 16 + i Combine like terms: -16 + 16 = 0 0 + 11i = -16 + 16 + i 11i = -16 + 16 + i Combine like terms: -16 + 16 = 0 11i = 0 + i 11i = i Solving 11i = i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 11i + -1i = i + -1i Combine like terms: 11i + -1i = 10i 10i = i + -1i Combine like terms: i + -1i = 0 10i = 0 Divide each side by '10'. i = 0.0 Simplifying i = 0.0
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