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When your 5/5 doublestrike trample is blocked, you have 5 dmg to distribute amongst the defenders in the first strike part of doublestrike.

You deal 2 dmg to the Emissary, 2 to the guildmage. Thats assigning enough dmg to kill those creatures. You have 1 dmg left that is dealt to your opponent.

Then there is the normal part of the double strike. There are no defenders, so you deal 5dmg to your opponent.

In total, you dealt 6dmg10 (twice 5) damage, killing his creatures and dealing a total of 6 damage to your opponent and killed his creatures.

When your 5/5 doublestrike trample is blocked, you have 5 dmg to distribute amongst the defenders in the first strike part of doublestrike.

You deal 2 dmg to the Emissary, 2 to the guildmage. Thats assigning enough dmg to kill those creatures. You have 1 dmg left that is dealt to your opponent.

Then there is the normal part of the double strike. There are no defenders, so you deal 5dmg to your opponent.

In total you dealt 6dmg to your opponent and killed his creatures.

When your 5/5 doublestrike trample is blocked, you have 5 dmg to distribute amongst the defenders in the first strike part of doublestrike.

You deal 2 dmg to the Emissary, 2 to the guildmage. Thats assigning enough dmg to kill those creatures. You have 1 dmg left that is dealt to your opponent.

Then there is the normal part of the double strike. There are no defenders, so you deal 5dmg to your opponent.

In total, you dealt 10 (twice 5) damage, killing his creatures and dealing a total of 6 damage to your opponent.

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When your 5/5 doublestrike trample is blocked, you have 5 dmg to distribute amongst the defenders in the first strike part of doublestrike.

You deal 2 dmg to the Emissary, 2 to the guildmage. Thats assigning enough dmg to kill those creatures. You have 1 dmg left that is dealt to your opponent.

Then there is the normal part of the double strike. There are no defenders, so you deal 5dmg to your opponent.

In total you dealt 6dmg to your opponent and killed his creatures.