document.write( "Question 1071958: What is a+(a-2)=(a+3)-(a+1) \n" ); document.write( "
Algebra.Com's Answer #686855 by addingup(3677)\"\" \"About 
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a+(a-2)=(a+3)-(a+1)
\n" ); document.write( "= a+a-2 = a+3-(a+1)
\n" ); document.write( "= 2a-2 = a+3+((-1)a-1)Note: nothing changed here, the -1 stands for -a. When you multiply the -1 using the distributive properties of multiplication, your get:
\n" ); document.write( "-1*a and -1*-1 = -1a and +1, or simply -a+1. Let's continue. Remove unnecessary parenthesis:
\n" ); document.write( "= 2a-2 = a+3+(-1)a-1 Add 3 and -1
\n" ); document.write( "= 2a-2 = a+2+(-1)a Now a-1a = 0, let's rewrite:
\n" ); document.write( "= 2a-2 = 2
\n" ); document.write( "= 2a-2-(-2) = 2-(-2)
\n" ); document.write( "= 2a = 2+2
\n" ); document.write( "= 2a = 4
\n" ); document.write( "= a = 4/2
\n" ); document.write( "= a = 2
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\n" ); document.write( "Check, see if I got an equality:
\n" ); document.write( "a+(a-2)=(a+3)-(a+1)
\n" ); document.write( "2+(2-2) = (2+3)-(2+1)
\n" ); document.write( "2 = 5-3; 2 = 2 Correct\r
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