Answer: w = -12
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Step-by-step explanation:
You're on the right track. You start off subtracting 35 from both sides, and then next divide both sides by 5. Your steps are 100% correct. The last thing to do is to simplify each side after what you wrote. The -60/5 on the left simplifies to -12, while the 5w/5 on the right simplifies to w. We end up with -12 = w and that's the same as w = -12.
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To verify, replace every copy of 'w' with -12 in the original equation and simplify each side.
-25 = 35 + 5w
-25 = 35 + 5(-12)
-25 = 35 - 60
-25 = -25
We end up with the same thing on both sides, so the answer is confirmed.