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Simplifying 2(2 + -3I) = 3 + -1(2 + -7I) (2 * 2 + -3I * 2) = 3 + -1(2 + -7I) (4 + -6I) = 3 + -1(2 + -7I) 4 + -6I = 3 + (2 * -1 + -7I * -1) 4 + -6I = 3 + (-2 + 7I) Combine like terms: 3 + -2 = 1 4 + -6I = 1 + 7I Solving 4 + -6I = 1 + 7I Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-7I' to each side of the equation. 4 + -6I + -7I = 1 + 7I + -7I Combine like terms: -6I + -7I = -13I 4 + -13I = 1 + 7I + -7I Combine like terms: 7I + -7I = 0 4 + -13I = 1 + 0 4 + -13I = 1 Add '-4' to each side of the equation. 4 + -4 + -13I = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -13I = 1 + -4 -13I = 1 + -4 Combine like terms: 1 + -4 = -3 -13I = -3 Divide each side by '-13'. I = 0.2307692308 Simplifying I = 0.2307692308
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