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2z+15=6z-9
Multiply both sides of the equation by 12, the least common multiple of 6,4,2.
2z+15-6z=-9
Subtract 6z from both sides.
-4z+15=-9
Combine 2z and -6z to get -4z.
-4z=-9-15
Subtract 15 from both sides.
-4z=-24
Subtract 15 from -9 to get -24.
z=\frac{-24}{-4}
Divide both sides by -4.
z=6
Divide -24 by -4 to get 6.