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Simplifying 8i + -1(12 + -7i) = 0 8i + (12 * -1 + -7i * -1) = 0 8i + (-12 + 7i) = 0 Reorder the terms: -12 + 8i + 7i = 0 Combine like terms: 8i + 7i = 15i -12 + 15i = 0 Solving -12 + 15i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 15i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 15i = 0 + 12 15i = 0 + 12 Combine like terms: 0 + 12 = 12 15i = 12 Divide each side by '15'. i = 0.8 Simplifying i = 0.8
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