Final answer:
The difference of \((-2W + 7)\) and \((W + 10)\) is found by changing signs of the second expression and simplifying to get \(-3W - 3\).
Step-by-step explanation:
To find the difference between the expressions \((-2W + 7)\) and \((W + 10)\), we need to subtract the second expression from the first. This can be done by changing the sign of each term in the second expression and then combining like terms with the first expression:
\((-2W + 7) - (W + 10)\) becomes \((-2W + 7) - W - 10\).
Then, combine the \(W\) terms and the constant terms separately:
\((-2W - W) + (7 - 10)\) simplifies to \((-3W - 3)\).
So the difference of the two expressions is \(-3W - 3\).