SOLUTION: -2n-(9-10n)

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Question 306832: -2n-(9-10n)
Found 2 solutions by rfer, ichudov:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
-2n-(9-10n)
-2n-9+10n=2n-9

Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: -2n-%289-10n%29 simplifies to 8%2An-9
  • Text form: -2n-(9-10n) simplifies to 8*n-9
  • Cartoon (animation) form: simplify_cartoon%28+-2n-%289-10n%29+%29
    For tutors: simplify_cartoon( -2n-(9-10n) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -2%2An-highlight_red%28+%289-10%2An%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-9+%29,highlight_red%28+10%2An+%29
It becomes -2%2An-highlight_green%28+9+%29%2Bhighlight_green%28+10%2An+%29.

Look at -2%2An-highlight_red%28+9+%29%2B10%2An.
Moved -9 to the right of expression
It becomes -2%2An%2B10%2An-highlight_green%28+9+%29.

Look at -highlight_red%28+2%2An+%29%2Bhighlight_red%28+10%2An+%29-9.
Eliminated similar terms highlight_red%28+-2%2An+%29,highlight_red%28+10%2An+%29 replacing them with highlight_green%28+%28-2%2B10%29%2An+%29
It becomes highlight_green%28+%28-2%2B10%29%2An+%29-9.

Look at %28-highlight_red%28+2+%29%2Bhighlight_red%28+10+%29%29%2An-9.
Added fractions or integers together
It becomes %28highlight_green%28+8+%29%29%2An-9.

Look at highlight_red%28+%28highlight_red%28+8+%29%29%2An+%29-9.
Remove unneeded parentheses around factor highlight_red%28+8+%29
It becomes highlight_green%28+8+%29%2An-9.
Result: 8%2An-9

Universal Simplifier and Solver


Done!