document.write( "Question 216118: How do you solve this(7a+3)+(-a-5)=-16? \n" ); document.write( "
Algebra.Com's Answer #163229 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
How do you solve this(7a+3)+(-a-5)=-16?\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: a=-2.33333333333333.
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  • Graphical form: Equation \"%287a%2B3%29%2B%28-a-5%29=-16\" was fully solved.
  • Text form: (7a+3)+(-a-5)=-16 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%287a%2B3%29%2B%28-a-5%29=-16+%29\"
    For tutors: simplify_cartoon( (7a+3)+(-a-5)=-16 )
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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 \"highlight_red%28+%287%2Aa%2B3%29+%29%2B%28-a-5%29=-16\".
Remove unneeded parentheses around terms \"highlight_red%28+7%2Aa+%29\",\"highlight_red%28+3+%29\"
It becomes \"highlight_green%28+7%2Aa+%29%2Bhighlight_green%28+3+%29%2B%28-a-5%29=-16\".
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Look at \"7%2Aa%2B3%2Bhighlight_red%28+%28-a-5%29+%29=-16\".
Remove unneeded parentheses around terms \"highlight_red%28+-a+%29\",\"highlight_red%28+-5+%29\"
It becomes \"7%2Aa%2B3-highlight_green%28+a+%29-highlight_green%28+5+%29=-16\".
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Look at \"7%2Aa%2Bhighlight_red%28+3+%29-a-highlight_red%28+5+%29=-16\".
Added fractions or integers together
It becomes \"7%2Aa%2Bhighlight_green%28+-2+%29-a=-16\".
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Look at \"7%2Aa%2Bhighlight_red%28+-2+%29-a=-16\".
Moved \"-2\" to the right of expression
It becomes \"7%2Aa-a%2Bhighlight_green%28+-2+%29=-16\".
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Look at \"7%2Aa-a%2Bhighlight_red%28+-2+%29=-16\".
Removed extra sign in front of \"-2\"
It becomes \"7%2Aa-a-highlight_green%28+2+%29=-16\".
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Look at \"highlight_red%28+7%2Aa+%29-highlight_red%28+a+%29-2=-16\".
Eliminated similar terms \"highlight_red%28+7%2Aa+%29\",\"highlight_red%28+-a+%29\" replacing them with \"highlight_green%28+%287-1%29%2Aa+%29\"
It becomes \"highlight_green%28+%287-1%29%2Aa+%29-2=-16\".
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Look at \"%28highlight_red%28+7+%29-highlight_red%28+1+%29%29%2Aa-2=-16\".
Added fractions or integers together
It becomes \"%28highlight_green%28+6+%29%29%2Aa-2=-16\".
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Look at \"highlight_red%28+%28highlight_red%28+6+%29%29%2Aa+%29-2=-16\".
Remove unneeded parentheses around factor \"highlight_red%28+6+%29\"
It becomes \"highlight_green%28+6+%29%2Aa-2=-16\".
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Look at \"6%2Aa-2=highlight_red%28+-16+%29\".
Moved these terms to the left \"highlight_green%28+16+%29\"
It becomes \"6%2Aa-2%2Bhighlight_green%28+16+%29=0\".
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Look at \"6%2Aa-highlight_red%28+2+%29%2Bhighlight_red%28+16+%29=0\".
Added fractions or integers together
It becomes \"6%2Aa%2Bhighlight_green%28+14+%29=0\".
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Look at \"highlight_red%28+6%2Aa%2B14+%29=0\".
Solved linear equation \"highlight_red%28+6%2Aa%2B14=0+%29\" equivalent to 6*a+14 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: a=-2.33333333333333.

Universal Simplifier and Solver

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Done!

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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 in Introduction to Algebra, please visit \r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit \r
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\n" ); document.write( "\n" ); document.write( "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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