SOLUTION: -2(6n-5)=-26

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Question 19058: -2(6n-5)=-26
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


  • Here's what you tried:
  • This is an equation! Solutions: n=3.
  • Graphical form: Equation -2%2A%286n-5%29=-26 was fully solved.
  • Text form: -2*(6n-5)=-26 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-2%2A%286n-5%29=-26+%29
    For tutors: simplify_cartoon( -2*(6n-5)=-26 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -2%2A%286%2An-5%29=highlight_red%28+-26+%29.
Moved these terms to the left highlight_green%28+26+%29
It becomes -2%2A%286%2An-5%29%2Bhighlight_green%28+26+%29=0.

Look at -highlight_red%28+2%2A%286%2An-5%29+%29%2B26=0.
Expanded term -2 by using associative property on %286%2An-5%29
It becomes -highlight_green%28+2%2A6%2An+%29%2Bhighlight_green%28+2%2A5+%29%2B26=0.

Look at -highlight_red%28+2+%29%2Ahighlight_red%28+6+%29%2An%2B2%2A5%2B26=0.
Multiplied numerator integers
It becomes -highlight_green%28+12+%29%2An%2B2%2A5%2B26=0.

Look at -12%2An%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+5+%29%2B26=0.
Multiplied numerator integers
It becomes -12%2An%2Bhighlight_green%28+10+%29%2B26=0.

Look at -12%2An%2Bhighlight_red%28+10+%29%2Bhighlight_red%28+26+%29=0.
Added fractions or integers together
It becomes -12%2An%2Bhighlight_green%28+36+%29=0.

Look at highlight_red%28+-12%2An%2B36+%29=0.
Solved linear equation highlight_red%28+-12%2An%2B36=0+%29 equivalent to -12*n+36 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: n=3.

Universal Simplifier and Solver


Done!

Hope this helps!