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Simplifying (-4 + 12i) + -1(1 + 5i) = 0 Remove parenthesis around (-4 + 12i) -4 + 12i + -1(1 + 5i) = 0 -4 + 12i + (1 * -1 + 5i * -1) = 0 -4 + 12i + (-1 + -5i) = 0 Reorder the terms: -4 + -1 + 12i + -5i = 0 Combine like terms: -4 + -1 = -5 -5 + 12i + -5i = 0 Combine like terms: 12i + -5i = 7i -5 + 7i = 0 Solving -5 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7i = 0 + 5 7i = 0 + 5 Combine like terms: 0 + 5 = 5 7i = 5 Divide each side by '7'. i = 0.7142857143 Simplifying i = 0.7142857143
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