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Simplifying 6 + -1(-2 + 8I) + -1(-2 + -1i) = 0 6 + (-2 * -1 + 8I * -1) + -1(-2 + -1i) = 0 6 + (2 + -8I) + -1(-2 + -1i) = 0 6 + 2 + -8I + (-2 * -1 + -1i * -1) = 0 6 + 2 + -8I + (2 + 1i) = 0 Reorder the terms: 6 + 2 + 2 + -8I + 1i = 0 Combine like terms: 6 + 2 = 8 8 + 2 + -8I + 1i = 0 Combine like terms: 8 + 2 = 10 10 + -8I + 1i = 0 Solving 10 + -8I + 1i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -8I + -10 + 1i = 0 + -10 Reorder the terms: 10 + -10 + -8I + 1i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -8I + 1i = 0 + -10 -8I + 1i = 0 + -10 Combine like terms: 0 + -10 = -10 -8I + 1i = -10 Add '-1i' to each side of the equation. -8I + 1i + -1i = -10 + -1i Combine like terms: 1i + -1i = 0 -8I + 0 = -10 + -1i -8I = -10 + -1i Divide each side by '-8'. I = 1.25 + 0.125i Simplifying I = 1.25 + 0.125i
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