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Simplifying 54j + -14 = 38j + 82 Reorder the terms: -14 + 54j = 38j + 82 Reorder the terms: -14 + 54j = 82 + 38j Solving -14 + 54j = 82 + 38j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-38j' to each side of the equation. -14 + 54j + -38j = 82 + 38j + -38j Combine like terms: 54j + -38j = 16j -14 + 16j = 82 + 38j + -38j Combine like terms: 38j + -38j = 0 -14 + 16j = 82 + 0 -14 + 16j = 82 Add '14' to each side of the equation. -14 + 14 + 16j = 82 + 14 Combine like terms: -14 + 14 = 0 0 + 16j = 82 + 14 16j = 82 + 14 Combine like terms: 82 + 14 = 96 16j = 96 Divide each side by '16'. j = 6 Simplifying j = 6
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