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Simplifying (-8 + -7i) + -1(5 + -4i) = 0 Remove parenthesis around (-8 + -7i) -8 + -7i + -1(5 + -4i) = 0 -8 + -7i + (5 * -1 + -4i * -1) = 0 -8 + -7i + (-5 + 4i) = 0 Reorder the terms: -8 + -5 + -7i + 4i = 0 Combine like terms: -8 + -5 = -13 -13 + -7i + 4i = 0 Combine like terms: -7i + 4i = -3i -13 + -3i = 0 Solving -13 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3i = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3i = 0 + 13 -3i = 0 + 13 Combine like terms: 0 + 13 = 13 -3i = 13 Divide each side by '-3'. i = -4.333333333 Simplifying i = -4.333333333
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