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Simplifying (3.1 + 6.2j) + -1(1 + -1.9j) = 0 Remove parenthesis around (3.1 + 6.2j) 3.1 + 6.2j + -1(1 + -1.9j) = 0 3.1 + 6.2j + (1 * -1 + -1.9j * -1) = 0 3.1 + 6.2j + (-1 + 1.9j) = 0 Reorder the terms: 3.1 + -1 + 6.2j + 1.9j = 0 Combine like terms: 3.1 + -1 = 2.1 2.1 + 6.2j + 1.9j = 0 Combine like terms: 6.2j + 1.9j = 8.1j 2.1 + 8.1j = 0 Solving 2.1 + 8.1j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + -2.1 + 8.1j = 0 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 8.1j = 0 + -2.1 8.1j = 0 + -2.1 Combine like terms: 0 + -2.1 = -2.1 8.1j = -2.1 Divide each side by '8.1'. j = -0.2592592593 Simplifying j = -0.2592592593
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