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Simplifying (7 + -3i) + -1(5 + I) = i Remove parenthesis around (7 + -3i) 7 + -3i + -1(5 + I) = i 7 + -3i + (5 * -1 + I * -1) = i 7 + -3i + (-5 + -1I) = i Reorder the terms: 7 + -5 + -1I + -3i = i Combine like terms: 7 + -5 = 2 2 + -1I + -3i = i Solving 2 + -1I + -3i = i Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1I + -2 + -3i = -2 + i Reorder the terms: 2 + -2 + -1I + -3i = -2 + i Combine like terms: 2 + -2 = 0 0 + -1I + -3i = -2 + i -1I + -3i = -2 + i Add '3i' to each side of the equation. -1I + -3i + 3i = -2 + i + 3i Combine like terms: -3i + 3i = 0 -1I + 0 = -2 + i + 3i -1I = -2 + i + 3i Combine like terms: i + 3i = 4i -1I = -2 + 4i Divide each side by '-1'. I = 2 + -4i Simplifying I = 2 + -4i
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