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Simplifying 54j + 65 = 43j + 87 Reorder the terms: 65 + 54j = 43j + 87 Reorder the terms: 65 + 54j = 87 + 43j Solving 65 + 54j = 87 + 43j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-43j' to each side of the equation. 65 + 54j + -43j = 87 + 43j + -43j Combine like terms: 54j + -43j = 11j 65 + 11j = 87 + 43j + -43j Combine like terms: 43j + -43j = 0 65 + 11j = 87 + 0 65 + 11j = 87 Add '-65' to each side of the equation. 65 + -65 + 11j = 87 + -65 Combine like terms: 65 + -65 = 0 0 + 11j = 87 + -65 11j = 87 + -65 Combine like terms: 87 + -65 = 22 11j = 22 Divide each side by '11'. j = 2 Simplifying j = 2
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