SOLUTION: if the product of a number and -7 is reduced by 3, the result is 33 less than twice the opposite of the number. what is the number?

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Question 595627: if the product of a number and -7 is reduced by 3, the result is 33 less than twice the opposite of the number. what is the number?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number:
-7n-3 = 2(-n)-33 Simplify.
-7n-3 = -2n-33 Add 7n to both sides.
-3 = 5n-33 Add 33 to both sides.
30 = 5n Finally, divide both sides by 5.
6 = n
The number is 6.