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Simplifying 19.2j + 3(17.3j + 4.57) = 3(9.8j + -2.38) Reorder the terms: 19.2j + 3(4.57 + 17.3j) = 3(9.8j + -2.38) 19.2j + (4.57 * 3 + 17.3j * 3) = 3(9.8j + -2.38) 19.2j + (13.71 + 51.9j) = 3(9.8j + -2.38) Reorder the terms: 13.71 + 19.2j + 51.9j = 3(9.8j + -2.38) Combine like terms: 19.2j + 51.9j = 71.1j 13.71 + 71.1j = 3(9.8j + -2.38) Reorder the terms: 13.71 + 71.1j = 3(-2.38 + 9.8j) 13.71 + 71.1j = (-2.38 * 3 + 9.8j * 3) 13.71 + 71.1j = (-7.14 + 29.4j) Solving 13.71 + 71.1j = -7.14 + 29.4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-29.4j' to each side of the equation. 13.71 + 71.1j + -29.4j = -7.14 + 29.4j + -29.4j Combine like terms: 71.1j + -29.4j = 41.7j 13.71 + 41.7j = -7.14 + 29.4j + -29.4j Combine like terms: 29.4j + -29.4j = 0.0 13.71 + 41.7j = -7.14 + 0.0 13.71 + 41.7j = -7.14 Add '-13.71' to each side of the equation. 13.71 + -13.71 + 41.7j = -7.14 + -13.71 Combine like terms: 13.71 + -13.71 = 0.00 0.00 + 41.7j = -7.14 + -13.71 41.7j = -7.14 + -13.71 Combine like terms: -7.14 + -13.71 = -20.85 41.7j = -20.85 Divide each side by '41.7'. j = -0.5 Simplifying j = -0.5
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