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Simplifying (7 + 4i) = (-2 + -3i) Remove parenthesis around (7 + 4i) 7 + 4i = (-2 + -3i) Remove parenthesis around (-2 + -3i) 7 + 4i = -2 + -3i Solving 7 + 4i = -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 + 4i + 3i = -2 + -3i + 3i Combine like terms: 4i + 3i = 7i 7 + 7i = -2 + -3i + 3i Combine like terms: -3i + 3i = 0 7 + 7i = -2 + 0 7 + 7i = -2 Add '-7' to each side of the equation. 7 + -7 + 7i = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 7i = -2 + -7 7i = -2 + -7 Combine like terms: -2 + -7 = -9 7i = -9 Divide each side by '7'. i = -1.285714286 Simplifying i = -1.285714286
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