SOLUTION: Solve. Please show all of your work. The sum of twice a number and 4 less than the number is the same as the difference between -32 and the number. What is the number?

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Question 446807: Solve. Please show all of your work.
The sum of twice a number and 4 less than the number is the same as the difference between -32 and the number. What is the number?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number = n
given:
+2n+%2B+n+-+4+=+n+-+%28-32%29+
+3n+-+4+=+n+-+%28-32%29+
Subtract n from both sides
+2n+-+4+=+32+
+2n+=+36+
+n+=+18+
The number is 18
check:
+2n+%2B+n+-+4+=+n+-+%28-32%29+
+2%2A18+%2B+18+-+4+=+18+%2B+32+
+36+%2B+14+=+50+
+50+=+50+
OK