In the equation 36 = 12 + (15t) - 6, what is the value of t?

To solve for the value of ( t ) in the equation ( 36 = 12 + (15t) - 6 ), we can begin by simplifying the equation step-by-step.

First, combine the constants on the right side of the equation. We have ( 12 - 6 ), which simplifies to ( 6 ). This changes the equation to:

[

36 = 6 + 15t

]

Next, isolate the term with ( t ) by subtracting ( 6 ) from both sides:

[

36 - 6 = 15t

]

This gives us:

[

30 = 15t

]

Now, to find ( t ), divide both sides by ( 15 ):

[

t = \frac{30}{15}

]

This simplifies to:

[

t = 2

]

Thus, the value of ( t ) is indeed ( 2 ). This solution methodically followed the rules of algebra to find the value of ( t ) and confirms that the result is consistent with proper manipulation of the equation.