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Simplifying 7j + 97 = 5j + 21 Reorder the terms: 97 + 7j = 5j + 21 Reorder the terms: 97 + 7j = 21 + 5j Solving 97 + 7j = 21 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. 97 + 7j + -5j = 21 + 5j + -5j Combine like terms: 7j + -5j = 2j 97 + 2j = 21 + 5j + -5j Combine like terms: 5j + -5j = 0 97 + 2j = 21 + 0 97 + 2j = 21 Add '-97' to each side of the equation. 97 + -97 + 2j = 21 + -97 Combine like terms: 97 + -97 = 0 0 + 2j = 21 + -97 2j = 21 + -97 Combine like terms: 21 + -97 = -76 2j = -76 Divide each side by '2'. j = -38 Simplifying j = -38
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