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8|9w-270|-6=714
Swap sides so that all variable terms are on the left hand side.
8|9w-270|=714+6
Add 6 to both sides.
8|9w-270|=720
Add 714 and 6 to get 720.
|9w-270|=\frac{720}{8}
Divide both sides by 8.
|9w-270|=90
Divide 720 by 8 to get 90.
9w-270=90 9w-270=-90
Use the definition of absolute value.
9w=360 9w=180
Add 270 to both sides of the equation.
w=40 w=20
Divide both sides by 9.