document.write( "Question 214847: Four times the difference of a number and 2 is the same as 2 increased by four times the number plus twice the number. Find the number. How do you solve this? I don't understand it. \n" ); document.write( "
Algebra.Com's Answer #162412 by drj(1380)\"\" \"About 
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Four times the difference of a number and 2 is the same as 2 increased by four times the number plus twice the number. Find the number. \r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let n be the number.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let n-2 is the difference between the number and 2.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 4(n-2) is four times the difference between the number and 2\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Let 2+4n+2n be 2 increased by 4 times the number plus twice the number \r
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\n" ); document.write( "\n" ); document.write( "where 4n is four times the number and 2n is twice the number.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Set expressions in Step 3 and 4 equal.\r
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\n" ); document.write( "\n" ); document.write( "\"4%28n-2%29=2%2B4n%2B2n=2%2B6n\"\r
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\n" ); document.write( "\n" ); document.write( "\"4n-8=2%2B6n\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract 4n to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"4n-8-4n=2%2B6n-4n\"\r
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\n" ); document.write( "\n" ); document.write( "\"-8=2%2B2n\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract -2 to both sides of the equation to get solve for n\r
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\n" ); document.write( "\n" ); document.write( "\"-8-2=2%2B2n-2\"\r
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\n" ); document.write( "\n" ); document.write( "\"-10=2n\"\r
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\n" ); document.write( "\n" ); document.write( "Divide by 5 to both sides of equation to get n\r
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\n" ); document.write( "\n" ); document.write( "\"-10%2F2=2n%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"-5=n\"\r
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\n" ); document.write( "\n" ); document.write( "\"n=-5\"\r
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\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER. The number is -5.\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 in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\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
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