Final answer:
The equation 6w + 5 - 5w = 6 - 1 simplifies to w + 5 = 5, which further simplifies to w = 0.
Step-by-step explanation:
To simplify the equation 6w + 5 - 5w = 6 - 1, we first combine like terms on each side of the equation. On the left side, we combine the terms with w, resulting in w + 5. On the right side, we subtract 1 from 6, resulting in 5. Therefore, the simplified equation is w + 5 = 5. Now we solve for w by subtracting 5 from both sides, leaving us with w = 0.