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A term may be moved from one side of an equation to the other if the sign of the term in changed from plus to minus or vice versa after the move. Note that this follows from the more basic rule that an equation is not changed by adding the same term to each side. Transposing a term and changing its sign is equivalent to adding the positive/negative counterpart of the term to be transposed to each side of the equation.

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Q: What are the rules in transposition of terms in equation?
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