Solve for z.
–3 = z − 9 –2
z =
To solve for ( z ) in the equation
[ -3 = \frac{z - 9}{-2}, ]
we can start by eliminating the fraction. We can do this by multiplying both sides of the equation by (-2):
[ -3 \times -2 = z - 9. ]
This simplifies to:
[ 6 = z - 9. ]
Next, we can isolate ( z ) by adding ( 9 ) to both sides:
[ 6 + 9 = z, ]
which simplifies to:
[ z = 15. ]
Thus, the solution is
[ \boxed{15}.