Final answer:
The question provided is ambiguous and refers to multiple unrelated concepts, making it difficult to directly address Shelly's solution errors. Nonetheless, a list of common errors in solving equations similar to 1/2 (c+6) = w includes mishandling the distribution, simplification, and transposition of terms.
Step-by-step explanation:
The question seems to be mixing several different problems or concepts that do not directly relate to Shelly's equation, which is 1/2 (c+6). It appears there may have been a mistake in the question as provided, making it challenging to address any specific errors in Shelly's solution. Without the actual solution steps that Shelly took to solve the equation, we cannot accurately describe the errors. However, we can discuss common errors when solving such an equation:
- Not properly distributing the fractional coefficient to each term inside the parenthesis.
- Incorrectly simplifying or combining like terms after distribution.
- Mistaking the operation when moving terms from one side of the equation to the other.
To correctly solve an equation like 1/2 (c+6) = w, you would distribute the 1/2 to both 'c' and '6', resulting in 1/2 c + 3 = w. To find 'c,' you would then subtract '3' from both sides of the equation and multiply by '2' to isolate 'c'. It is crucial to follow these steps sequentially to avoid any errors.