Final answer:
The equation -14(2-5) = -14z + 70 has exactly one solution, which is z = 2.
Step-by-step explanation:
To determine the number of solutions of the equation -14(2-5) = -14z + 70, we can simplify it by performing the arithmetic operations on both sides.
- -14(2-5) = -14z + 70
- -14(-3) = -14z + 70
- 42 = -14z + 70
- -28 = -14z
- z = 2
So, the equation has exactly one solution. The value of z that satisfies the equation is 2.