Answer
t=6
Work Step by Step
In order to solve this algebraic expression, we must isolate the variable. A variable is the letter in the problem (for instance, in the equation 2x=10, x is the variable). Because multiplication and division are inverse operations (they cancel each other out), we know we must divide when a number is being multiplied by the variable and multiply when the variable is being divided by a number.
In the equation 6t=36, we must get rid of the 6, which the variable is being multiplied by, in order to solve. Thus, we divide both sides by 6 to find that t=6.