# 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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 Click here to see ALL problems on Numbers Word Problems 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)   (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.