document.write( "Question 26310: 6(5t-3)+2=14 \n" ); document.write( "
Algebra.Com's Answer #14154 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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  • This is an equation! Solutions: t=1.
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  • Graphical form: Equation \"6%2A%285t-3%29%2B2=14\" was fully solved.
  • Text form: 6*(5t-3)+2=14 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+6%2A%285t-3%29%2B2=14+%29\"
    For tutors: simplify_cartoon( 6*(5t-3)+2=14 )
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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 \"6%2A%285%2At-3%29%2B2=highlight_red%28+14+%29\".
Moved these terms to the left \"highlight_green%28+-14+%29\"
It becomes \"6%2A%285%2At-3%29%2B2-highlight_green%28+14+%29=0\".
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Look at \"6%2A%285%2At-3%29%2Bhighlight_red%28+2+%29-highlight_red%28+14+%29=0\".
Added fractions or integers together
It becomes \"6%2A%285%2At-3%29%2Bhighlight_green%28+-12+%29=0\".
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Look at \"6%2A%285%2At-3%29%2Bhighlight_red%28+-12+%29=0\".
Removed extra sign in front of \"-12\"
It becomes \"6%2A%285%2At-3%29-highlight_green%28+12+%29=0\".
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Look at \"highlight_red%28+6%2A%285%2At-3%29+%29-12=0\".
Expanded term \"6\" by using associative property on \"%285%2At-3%29\"
It becomes \"highlight_green%28+6%2A5%2At+%29-highlight_green%28+6%2A3+%29-12=0\".
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Look at \"highlight_red%28+6+%29%2Ahighlight_red%28+5+%29%2At-6%2A3-12=0\".
Multiplied numerator integers
It becomes \"highlight_green%28+30+%29%2At-6%2A3-12=0\".
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Look at \"30%2At-highlight_red%28+6+%29%2Ahighlight_red%28+3+%29-12=0\".
Multiplied numerator integers
It becomes \"30%2At-highlight_green%28+18+%29-12=0\".
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Look at \"30%2At-highlight_red%28+18+%29-highlight_red%28+12+%29=0\".
Added fractions or integers together
It becomes \"30%2At%2Bhighlight_green%28+-30+%29=0\".
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Look at \"30%2At%2Bhighlight_red%28+-30+%29=0\".
Removed extra sign in front of \"-30\"
It becomes \"30%2At-highlight_green%28+30+%29=0\".
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Look at \"highlight_red%28+30%2At-30+%29=0\".
Solved linear equation \"highlight_red%28+30%2At-30=0+%29\" equivalent to 30*t-30 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
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Universal Simplifier and Solver

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Done!

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