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The quotient of a number and -7, decreased by 2, is 10. How do you find the number?

Author:
February 20th, 2023

##-84##
Let ##x## be the unknown number.
From the queston we can form the equation
##x/((-7)) – 2 = 10##
Move ##-2## to the right hand side
##x/((-7)) = 10+2##
##x/((-7)) = 12##
Multiply both sides by ##-7## to get the unkonwn no.
##cancel(-7) * x/(cancel((-7))) = 12 * (-7)##
##x=-84##

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