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Simplifying 3.6(j + 4) = 1.4(16 + j) Reorder the terms: 3.6(4 + j) = 1.4(16 + j) (4 * 3.6 + j * 3.6) = 1.4(16 + j) (14.4 + 3.6j) = 1.4(16 + j) 14.4 + 3.6j = (16 * 1.4 + j * 1.4) 14.4 + 3.6j = (22.4 + 1.4j) Solving 14.4 + 3.6j = 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. 14.4 + 3.6j + -1.4j = 22.4 + 1.4j + -1.4j Combine like terms: 3.6j + -1.4j = 2.2j 14.4 + 2.2j = 22.4 + 1.4j + -1.4j Combine like terms: 1.4j + -1.4j = 0.0 14.4 + 2.2j = 22.4 + 0.0 14.4 + 2.2j = 22.4 Add '-14.4' to each side of the equation. 14.4 + -14.4 + 2.2j = 22.4 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + 2.2j = 22.4 + -14.4 2.2j = 22.4 + -14.4 Combine like terms: 22.4 + -14.4 = 8 2.2j = 8 Divide each side by '2.2'. j = 3.636363636 Simplifying j = 3.636363636
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