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Simplifying (-7 + 6i) + -1(8 + 5i) = 0 Remove parenthesis around (-7 + 6i) -7 + 6i + -1(8 + 5i) = 0 -7 + 6i + (8 * -1 + 5i * -1) = 0 -7 + 6i + (-8 + -5i) = 0 Reorder the terms: -7 + -8 + 6i + -5i = 0 Combine like terms: -7 + -8 = -15 -15 + 6i + -5i = 0 Combine like terms: 6i + -5i = 1i -15 + 1i = 0 Solving -15 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1i = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1i = 0 + 15 1i = 0 + 15 Combine like terms: 0 + 15 = 15 1i = 15 Divide each side by '1'. i = 15 Simplifying i = 15
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