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Simplifying (7 + -5i) = (-2 + -3i) Remove parenthesis around (7 + -5i) 7 + -5i = (-2 + -3i) Remove parenthesis around (-2 + -3i) 7 + -5i = -2 + -3i Solving 7 + -5i = -2 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 7 + -5i + 3i = -2 + -3i + 3i Combine like terms: -5i + 3i = -2i 7 + -2i = -2 + -3i + 3i Combine like terms: -3i + 3i = 0 7 + -2i = -2 + 0 7 + -2i = -2 Add '-7' to each side of the equation. 7 + -7 + -2i = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -2i = -2 + -7 -2i = -2 + -7 Combine like terms: -2 + -7 = -9 -2i = -9 Divide each side by '-2'. i = 4.5 Simplifying i = 4.5
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