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The first thing you must do when solving for any similar problem is to get all like expressions on the same side of the equal sign.
Let's start by moving one of the expressions containing t to the opposite side of the equation.
I'll start by adding (t/4) to both sides.
Now simplify the right side remembering that
is the same as
Since both t expressions have the same denominator we can add the like terms. This gives us
, and 0 divided by 4 is 0.
So our equation now looks like this,
Now, to have only the t expressions on the same side of the equation we will subtract 8 from both sides,
Next, simplify each side to get
Our next step will be to add the t expressions but first we must get a least common denominator.
Our least common denominator is 4 so we have to multiply (t/2) times 2, which means both the numerator and denominator or multiplied by 2
Next, we add like terms
Now, multiply both sides by 4 to negate the denominator.
This will give us,
Now we have
Divide both sides by 3 and you have your answer,