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Simplifying 3.5(1j + 4) = 1.4(16 + 1j) Reorder the terms: 3.5(4 + 1j) = 1.4(16 + 1j) (4 * 3.5 + 1j * 3.5) = 1.4(16 + 1j) (14 + 3.5j) = 1.4(16 + 1j) 14 + 3.5j = (16 * 1.4 + 1j * 1.4) 14 + 3.5j = (22.4 + 1.4j) Solving 14 + 3.5j = 22.4 + 1.4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1.4j' to each side of the equation. 14 + 3.5j + -1.4j = 22.4 + 1.4j + -1.4j Combine like terms: 3.5j + -1.4j = 2.1j 14 + 2.1j = 22.4 + 1.4j + -1.4j Combine like terms: 1.4j + -1.4j = 0.0 14 + 2.1j = 22.4 + 0.0 14 + 2.1j = 22.4 Add '-14' to each side of the equation. 14 + -14 + 2.1j = 22.4 + -14 Combine like terms: 14 + -14 = 0 0 + 2.1j = 22.4 + -14 2.1j = 22.4 + -14 Combine like terms: 22.4 + -14 = 8.4 2.1j = 8.4 Divide each side by '2.1'. j = 4 Simplifying j = 4
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