document.write( "Question 65176: D = C – s (for s)
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Algebra.Com's Answer #45687 by mszlmb(115)\"\" \"About 
You can put this solution on YOUR website!
\"D=%28C-S%29%2FN\"\r
\n" ); document.write( "\n" ); document.write( "We want to get the S variable isolated (alone-ified) on one side of the equation. First, we move the N. To move the N, multiply both sides by it. We do this because (C-S) is all divided by N, and the only way to subtract C so we can get S is to first multiply by their dividend, N.
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\n" ); document.write( "\n" ); document.write( "\"D=%28C-S%29%2FN\" so times N to both sides:
\n" ); document.write( "\"D%2AN=%28C-S%29%2FN%2AN\"=>\"DN=C-S\"
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\n" ); document.write( "\n" ); document.write( "See that, we've almost got S by itself! Now to get rid of that pesky little 'C.' Simply subtract both sides by C!
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\n" ); document.write( "\n" ); document.write( "\"DN-C=C-S-C\"=>\"DN-C=-S\"
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\n" ); document.write( "\n" ); document.write( "We're done! almost finished: We have to rid ourself of the 'negative' sign! We know that -S is the same as saying -1 times S [-1*S], so we multiply both sides by -1, since -1*-1=1:
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\n" ); document.write( "\n" ); document.write( "\"%28DN-C%29%2A-1=-S%2A-1\"=>\"-%28DN-C%29=S\" S is isolated! We're FINALLY DONE!!! almost there.. We just have to distribute the '-' on the left:
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\n" ); document.write( "\n" ); document.write( "\"%28-1%29DN-%28-1%29C=S\"=>\"-DN-%28-C%29=S\" Recall that -(-x)= a positive x, so
\n" ); document.write( "\"-DN%2BC=S\" We can optionally arrange this to our liking,
\n" ); document.write( "\"C-DN=S\". There, it's a simple as that! Ask any questions you need to.
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