document.write( "Question 226182: the sum of three consecutive integers is -129. find the integers. \n" ); document.write( "
Algebra.Com's Answer #168508 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
The sum of three consecutive integers is -129. Find the integers.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let n be the first integer.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let n+1 and n+2 be the next two consecutive integers.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Then, n+n+1+n+2=-129 since the sum is -129.\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


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  • This is an equation! Solutions: n=-44.
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  • Graphical form: Equation \"n%2Bn%2B1%2Bn%2B2=-129\" was fully solved.
  • Text form: n+n+1+n+2=-129 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+n%2Bn%2B1%2Bn%2B2=-129+%29\"
    For tutors: simplify_cartoon( n+n+1+n+2=-129 )
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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 \"n%2Bn%2Bhighlight_red%28+1+%29%2Bn%2Bhighlight_red%28+2+%29=-129\".
Added fractions or integers together
It becomes \"n%2Bn%2Bhighlight_green%28+3+%29%2Bn=-129\".
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Look at \"n%2Bn%2Bhighlight_red%28+3+%29%2Bn=-129\".
Moved \"3\" to the right of expression
It becomes \"n%2Bn%2Bn%2Bhighlight_green%28+3+%29=-129\".
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Look at \"highlight_red%28+n+%29%2Bhighlight_red%28+n+%29%2Bhighlight_red%28+n+%29%2B3=-129\".
Eliminated similar terms \"highlight_red%28+n+%29\",\"highlight_red%28+n+%29\",\"highlight_red%28+n+%29\" replacing them with \"highlight_green%28+%281%2B1%2B1%29%2An+%29\"
It becomes \"highlight_green%28+%281%2B1%2B1%29%2An+%29%2B3=-129\".
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Look at \"%28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2An%2B3=-129\".
Added fractions or integers together
It becomes \"%28highlight_green%28+3+%29%29%2An%2B3=-129\".
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Look at \"highlight_red%28+%28highlight_red%28+3+%29%29%2An+%29%2B3=-129\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"highlight_green%28+3+%29%2An%2B3=-129\".
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Look at \"3%2An%2B3=highlight_red%28+-129+%29\".
Moved these terms to the left \"highlight_green%28+129+%29\"
It becomes \"3%2An%2B3%2Bhighlight_green%28+129+%29=0\".
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Look at \"3%2An%2Bhighlight_red%28+3+%29%2Bhighlight_red%28+129+%29=0\".
Added fractions or integers together
It becomes \"3%2An%2Bhighlight_green%28+132+%29=0\".
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Look at \"highlight_red%28+3%2An%2B132+%29=0\".
Solved linear equation \"highlight_red%28+3%2An%2B132=0+%29\" equivalent to 3*n+132 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: n=-44.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With n=-44, n+1=-43, and n+2=-42. Not the sum of these integers is -129.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. The integers are -44, -43, and -42.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \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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