How do you solve #-32=8/7(3w-1)#?

1 Answer
Oct 5, 2016

Answer:

#w=-9#

Explanation:

Multiplying both sides of the equation by 7 will eliminate the fraction.

#-32xx7=cancel(7)^1xx8/cancel(7)^1(3w-1)#

#rArr-224=8(3w-1)#

distribute the bracket.

#-224=24w-8#

#rArr24w-8=-224larr" reversing the equation"#

add 8 to both sides.

#24wcancel(-8)cancel(+8)=-224+8#

#rArr24w=-216#

To solve for w, divide both sides by 24.

#(cancel(24) w)/cancel(24)=-216/24#

#rArrw=-9" is the solution"#