document.write( "Question 209876: what is 2(12b+7)=9b-1 \n" ); document.write( "
Algebra.Com's Answer #162257 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
\"2%2812b%2B7%29=9b-1\"\r
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\n" ); document.write( "\n" ); document.write( "The following steps will solve the above equation:\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: b=-1.
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  • Graphical form: Equation \"2%2A%2812b%2B7%29=9b-1\" was fully solved.
  • Text form: 2*(12b+7)=9b-1 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+2%2A%2812b%2B7%29=9b-1+%29\"
    For tutors: simplify_cartoon( 2*(12b+7)=9b-1 )
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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 \"2%2A%2812%2Ab%2B7%29=highlight_red%28+9%2Ab-1+%29\".
Moved these terms to the left \"highlight_green%28+-9%2Ab+%29\",\"highlight_green%28+1+%29\"
It becomes \"2%2A%2812%2Ab%2B7%29-highlight_green%28+9%2Ab+%29%2Bhighlight_green%28+1+%29=0\".
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Look at \"highlight_red%28+2%2A%2812%2Ab%2B7%29+%29-9%2Ab%2B1=0\".
Expanded term \"2\" by using associative property on \"%2812%2Ab%2B7%29\"
It becomes \"highlight_green%28+2%2A12%2Ab+%29%2Bhighlight_green%28+2%2A7+%29-9%2Ab%2B1=0\".
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Look at \"highlight_red%28+2+%29%2Ahighlight_red%28+12+%29%2Ab%2B2%2A7-9%2Ab%2B1=0\".
Multiplied numerator integers
It becomes \"highlight_green%28+24+%29%2Ab%2B2%2A7-9%2Ab%2B1=0\".
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Look at \"24%2Ab%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+7+%29-9%2Ab%2B1=0\".
Multiplied numerator integers
It becomes \"24%2Ab%2Bhighlight_green%28+14+%29-9%2Ab%2B1=0\".
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Look at \"24%2Ab%2Bhighlight_red%28+14+%29-9%2Ab%2Bhighlight_red%28+1+%29=0\".
Added fractions or integers together
It becomes \"24%2Ab%2Bhighlight_green%28+15+%29-9%2Ab=0\".
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Look at \"24%2Ab%2Bhighlight_red%28+15+%29-9%2Ab=0\".
Moved \"15\" to the right of expression
It becomes \"24%2Ab-9%2Ab%2Bhighlight_green%28+15+%29=0\".
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Look at \"highlight_red%28+24%2Ab+%29-highlight_red%28+9%2Ab+%29%2B15=0\".
Eliminated similar terms \"highlight_red%28+24%2Ab+%29\",\"highlight_red%28+-9%2Ab+%29\" replacing them with \"highlight_green%28+%2824-9%29%2Ab+%29\"
It becomes \"highlight_green%28+%2824-9%29%2Ab+%29%2B15=0\".
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Look at \"%28highlight_red%28+24+%29-highlight_red%28+9+%29%29%2Ab%2B15=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+15+%29%29%2Ab%2B15=0\".
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Look at \"highlight_red%28+%28highlight_red%28+15+%29%29%2Ab+%29%2B15=0\".
Remove unneeded parentheses around factor \"highlight_red%28+15+%29\"
It becomes \"highlight_green%28+15+%29%2Ab%2B15=0\".
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Look at \"highlight_red%28+15%2Ab%2B15+%29=0\".
Solved linear equation \"highlight_red%28+15%2Ab%2B15=0+%29\" equivalent to 15*b+15 =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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\n" ); document.write( "\n" ); document.write( "The answer is b=-1.\r
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\n" ); document.write( "\n" ); document.write( "I just found this problem on 18 Sep 09, but I hope the above steps were helpful. Sorry about the late response.\r
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\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "
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