document.write( "Question 22025: 4d - (5c + 4d) \n" ); document.write( "
Algebra.Com's Answer #10635 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"4d-%285c%2B4d%29\" simplifies to \"-5%2Ac\"
  • Text form: 4d-(5c+4d) simplifies to -5*c
  • Cartoon (animation) form: \"simplify_cartoon%28+4d-%285c%2B4d%29+%29\"
    For tutors: simplify_cartoon( 4d-(5c+4d) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"4%2Ad-highlight_red%28+%285%2Ac%2B4%2Ad%29+%29\".
Remove unneeded parentheses around terms \"highlight_red%28+-5%2Ac+%29\",\"highlight_red%28+-4%2Ad+%29\"
It becomes \"4%2Ad-highlight_green%28+5%2Ac+%29-highlight_green%28+4%2Ad+%29\".
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Look at \"highlight_red%28+4%2Ad+%29-5%2Ac-highlight_red%28+4%2Ad+%29\".
Eliminated similar terms \"highlight_red%28+4%2Ad+%29\",\"highlight_red%28+-4%2Ad+%29\" replacing them with \"highlight_green%28+%284-4%29%2Ad+%29\"
It becomes \"highlight_green%28+%284-4%29%2Ad+%29-5%2Ac\".
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Look at \"highlight_red%28+%284-4%29%2Ad+%29-5%2Ac\".
Since \"highlight_red%28+%284-4%29%2Ad+%29\" has zero as a factor, it should be replaced with a zero
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Look at \"0-5%2Ac\".
Added fractions or integers together
It becomes \"0-5%2Ac\".
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Look at \"highlight_red%28+0+%29-5%2Ac\".
Remove extraneous zero \"highlight_red%28+0+%29\"
It becomes \"-5%2Ac\".
Result: \"-5%2Ac\"
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Universal Simplifier and Solver

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Done!

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