SOLUTION: What is the sum of (9 + 7n) +(-3+ 4c) + (2 + 5m) ?

Algebra ->  Equations -> SOLUTION: What is the sum of (9 + 7n) +(-3+ 4c) + (2 + 5m) ?      Log On


   

Question 1188663: What is the sum of (9 + 7n) +(-3+ 4c) + (2 + 5m) ?
Found 2 solutions by Shin123, ikleyn:
Answer by Shin123(626) 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: %289%2B7n%29%2B%28-3%2B4c%29%2B%282%2B5m%29 simplifies to 7%2An%2B4%2Ac%2B5%2Am%2B8
  • Text form: (9+7n)+(-3+4c)+(2+5m) simplifies to 7*n+4*c+5*m+8
  • Cartoon (animation) form: simplify_cartoon%28+%289%2B7n%29%2B%28-3%2B4c%29%2B%282%2B5m%29+%29
    For tutors: simplify_cartoon( (9+7n)+(-3+4c)+(2+5m) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%289%2B7%2An%29+%29%2B%28-3%2B4%2Ac%29%2B%282%2B5%2Am%29.
Remove unneeded parentheses around terms highlight_red%28+9+%29,highlight_red%28+7%2An+%29
It becomes highlight_green%28+9+%29%2Bhighlight_green%28+7%2An+%29%2B%28-3%2B4%2Ac%29%2B%282%2B5%2Am%29.
Look at 9%2B7%2An%2Bhighlight_red%28+%28-3%2B4%2Ac%29+%29%2B%282%2B5%2Am%29.
Remove unneeded parentheses around terms highlight_red%28+-3+%29,highlight_red%28+4%2Ac+%29
It becomes 9%2B7%2An-highlight_green%28+3+%29%2Bhighlight_green%28+4%2Ac+%29%2B%282%2B5%2Am%29.
Look at 9%2B7%2An-3%2B4%2Ac%2Bhighlight_red%28+%282%2B5%2Am%29+%29.
Remove unneeded parentheses around terms highlight_red%28+2+%29,highlight_red%28+5%2Am+%29
It becomes 9%2B7%2An-3%2B4%2Ac%2Bhighlight_green%28+2+%29%2Bhighlight_green%28+5%2Am+%29.
Look at .
Added fractions or integers together
It becomes highlight_green%28+8+%29%2B7%2An%2B4%2Ac%2B5%2Am.
Look at highlight_red%28+8+%29%2B7%2An%2B4%2Ac%2B5%2Am.
Moved 8 to the right of expression
It becomes 7%2An%2B4%2Ac%2B5%2Am%2Bhighlight_green%28+8+%29.
Result: 7%2An%2B4%2Ac%2B5%2Am%2B8

Universal Simplifier and Solver


Done!

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

Add the constant terms  9 -3 + 2 = 8.


Add all other terms  7n + 4c + 5m.


Add everything altogether to get the answer


    7n + 4c + 5m + 8.

Done.