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Simplifying 6 + -1(-5 + 4i) + -1(-3 + I) = 0 6 + (-5 * -1 + 4i * -1) + -1(-3 + I) = 0 6 + (5 + -4i) + -1(-3 + I) = 0 6 + 5 + -4i + (-3 * -1 + I * -1) = 0 6 + 5 + -4i + (3 + -1I) = 0 Reorder the terms: 6 + 5 + 3 + -1I + -4i = 0 Combine like terms: 6 + 5 = 11 11 + 3 + -1I + -4i = 0 Combine like terms: 11 + 3 = 14 14 + -1I + -4i = 0 Solving 14 + -1I + -4i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -1I + -14 + -4i = 0 + -14 Reorder the terms: 14 + -14 + -1I + -4i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1I + -4i = 0 + -14 -1I + -4i = 0 + -14 Combine like terms: 0 + -14 = -14 -1I + -4i = -14 Add '4i' to each side of the equation. -1I + -4i + 4i = -14 + 4i Combine like terms: -4i + 4i = 0 -1I + 0 = -14 + 4i -1I = -14 + 4i Divide each side by '-1'. I = 14 + -4i Simplifying I = 14 + -4i
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