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This page talks about the steps needed to get started staking on stakewise.io
Once the wallet is connected, you will see your Ethereum address displayed.
You will then be able to make use of the Deposit panel. Decide how much Ethereum you want to deposit or use the MAX button to deposit all the Ethereum you have. Then click on the "Confirm" button after selecting "I agree with the Terms & Conditions"
You will be prompted by your wallet to "sign" the transaction. Note that gas prices do often fluctuate rapidly, so it may take a while before the transaction is confirmed on the chain. In rare instances, gas prices may spike and the transaction may fail. You will lose the amount paid for gas, but not the deposit amount in the transaction.
Here is a video highlighting how this is done using a Ledger hardware wallet.
Demonstration on how to stake ETH on the StakeWise platform.