PLEASE HELP ME I NEED IT TO BRING MY GRADE UP

the attached file

Explanation:

The potassium is an alkali metal which explode in water to produce base and hydrogen gas.  The balancing came from the fact that each side needed the same number of hydrogens so I made the products have 4 (the lowest even number) then put the appropriate coefficients in the reactants to make that work.  Since there are two molecules of potassium hydroxide there also needed to be 2 atoms of potassium in the reactants.  

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the correct answer would be d. hope this !