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Simplifying 5(3j + 7) = 4(4j + 3) Reorder the terms: 5(7 + 3j) = 4(4j + 3) (7 * 5 + 3j * 5) = 4(4j + 3) (35 + 15j) = 4(4j + 3) Reorder the terms: 35 + 15j = 4(3 + 4j) 35 + 15j = (3 * 4 + 4j * 4) 35 + 15j = (12 + 16j) Solving 35 + 15j = 12 + 16j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-16j' to each side of the equation. 35 + 15j + -16j = 12 + 16j + -16j Combine like terms: 15j + -16j = -1j 35 + -1j = 12 + 16j + -16j Combine like terms: 16j + -16j = 0 35 + -1j = 12 + 0 35 + -1j = 12 Add '-35' to each side of the equation. 35 + -35 + -1j = 12 + -35 Combine like terms: 35 + -35 = 0 0 + -1j = 12 + -35 -1j = 12 + -35 Combine like terms: 12 + -35 = -23 -1j = -23 Divide each side by '-1'. j = 23 Simplifying j = 23
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