Final answer:
To solve the equation Z+(z-6)-2=-10, combine like terms to get 2Z - 8 = -10, then add 8 to both sides to get 2Z = -2, and finally, divide by 2 to find Z = -1.
Step-by-step explanation:
To solve the equation Z+(z-6)-2=-10, you need to combine like terms and solve for Z. Here are the steps:
- Combine the Z terms: Z + (Z - 6) - 2 = -10 becomes 2Z - 6 - 2 = -10.
- Combine the constant terms: 2Z - 8 = -10.
- Add 8 to both sides to isolate the variable terms: 2Z - 8 + 8 = -10 + 8, which simplifies to 2Z = -2.
- Divide both sides by 2 to solve for Z: 2Z / 2 = -2 / 2, which gives us Z = -1.
Therefore, the solution to the equation is Z = -1.