SOLUTION: please help me solve this equation {{{ 7w-2+w=60 }}}

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Question 22592: please help me solve this equation +7w-2%2Bw=60+
Answer by Alwayscheerful(414) 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


  • This is an equation! Solutions: w=7.75.
  • Graphical form: Equation 7w-2%2Bw=60 was fully solved.
  • Text form: 7w-2+w=60 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+7w-2%2Bw=60+%29
    For tutors: simplify_cartoon( 7w-2+w=60 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at 7%2Aw-highlight_red%28+2+%29%2Bw=60.
Moved -2 to the right of expression
It becomes 7%2Aw%2Bw-highlight_green%28+2+%29=60.

Look at highlight_red%28+7%2Aw+%29%2Bhighlight_red%28+w+%29-2=60.
Eliminated similar terms highlight_red%28+7%2Aw+%29,highlight_red%28+w+%29 replacing them with highlight_green%28+%287%2B1%29%2Aw+%29
It becomes highlight_green%28+%287%2B1%29%2Aw+%29-2=60.

Look at %28highlight_red%28+7+%29%2Bhighlight_red%28+1+%29%29%2Aw-2=60.
Added fractions or integers together
It becomes %28highlight_green%28+8+%29%29%2Aw-2=60.

Look at highlight_red%28+%28highlight_red%28+8+%29%29%2Aw+%29-2=60.
Remove unneeded parentheses around factor highlight_red%28+8+%29
It becomes highlight_green%28+8+%29%2Aw-2=60.

Look at 8%2Aw-2=highlight_red%28+60+%29.
Moved these terms to the left highlight_green%28+-60+%29
It becomes 8%2Aw-2-highlight_green%28+60+%29=0.

Look at 8%2Aw-highlight_red%28+2+%29-highlight_red%28+60+%29=0.
Added fractions or integers together
It becomes 8%2Aw%2Bhighlight_green%28+-62+%29=0.

Look at 8%2Aw%2Bhighlight_red%28+-62+%29=0.
Removed extra sign in front of -62
It becomes 8%2Aw-highlight_green%28+62+%29=0.

Look at highlight_red%28+8%2Aw-62+%29=0.
Solved linear equation highlight_red%28+8%2Aw-62=0+%29 equivalent to 8*w-62 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: w=7.75.

Universal Simplifier and Solver


Done!

Hope this helps!