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z=360-\left(4z+90+30+120\right)
Combine 2z and 2z to get 4z.
z=360-\left(4z+120+120\right)
Add 90 and 30 to get 120.
z=360-\left(4z+240\right)
Add 120 and 120 to get 240.
z=360-4z-240
To find the opposite of 4z+240, find the opposite of each term.
z=120-4z
Subtract 240 from 360 to get 120.
z+4z=120
Add 4z to both sides.
5z=120
Combine z and 4z to get 5z.
z=\frac{120}{5}
Divide both sides by 5.
z=24
Divide 120 by 5 to get 24.