document.write( "Question 268972: Can you explain how to get from (9((x+9)/7)-7) to ((9x+32)/7)? I keep coming up with (((9x+81)/7)-7). What step am I missing? \n" ); document.write( "

Algebra.Com's Answer #197095 by persian52(161) $\"\"$ $\"About$

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(9((x+9)/(7))-7)\r
\n" ); document.write( "\n" ); document.write( "Multiply 9 by each term inside the parentheses.
\n" ); document.write( "(9(x+9))/(7)-7\r
\n" ); document.write( "\n" ); document.write( "Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of 7.
\n" ); document.write( "(9(x+9))/(7)-7*(7)/(7)\r
\n" ); document.write( "\n" ); document.write( "Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 7.
\n" ); document.write( "(9(x+9))/(7)-(7*7)/(7)\r
\n" ); document.write( "\n" ); document.write( "Multiply 7 by 7 to get 49.
\n" ); document.write( "(9(x+9))/(7)-(49)/(7)\r
\n" ); document.write( "\n" ); document.write( "The numerators of expressions that have equal denominators can be combined. In this case, (9(x+9))/(7) and -((49))/(7) have the same denominator of 7, so the numerators can be combined.
\n" ); document.write( "(9(x+9)-(49))/(7)\r
\n" ); document.write( "\n" ); document.write( "Simplify the numerator of the expression.
\n" ); document.write( "Answer: (9x+32)/(7)
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\n" ); document.write( "Now you know what step you missed!
\n" ); document.write( "Hope it helped. ☺ \n" ); document.write( "

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