Solve for [tex] m [/tex], [tex] n [/tex], and [tex] p [/tex] in the following equations:

1. [tex] m - 12 = 36 [/tex]
- Find [tex] m [/tex] by solving [tex] m = 36 + 12 [/tex].

2. [tex] 5n = 45 [/tex]
- Solve for [tex] n [/tex] by dividing both sides by 5.

3. [tex] \frac{p}{7} = 3 [/tex]
- Multiply both sides by 7 to find [tex] p [/tex].

Let's go through the problem step-by-step to find the solutions for each part:

1. Find [tex]$ m $[/tex]:

We start with the equation [tex]$ m - 12 = 3612 $[/tex].

- To solve for [tex]$ m $[/tex], we add 12 to both sides:
[tex]\[
m = 3612 + 12
\][/tex]

- This gives:
[tex]\[
m = 3624
\][/tex]

2. Evaluate the Expression for [tex]$ n $[/tex]:

Now, let's solve the equation [tex]$ 5n = 45 $[/tex] to find [tex]$ n $[/tex].

- Divide both sides by 5:
[tex]\[
n = \frac{45}{5}
\][/tex]

- This results in:
[tex]\[
n = 9
\][/tex]

3. Evaluate the Expression for [tex]$ p $[/tex]:

We have the equation [tex]$ \frac{p}{7} = 3 \times 77 $[/tex].

- First, calculate the right-hand side:
[tex]\[
3 \times 77 = 231
\][/tex]

- Next, solve for [tex]$ p $[/tex] by multiplying both sides by 7:
[tex]\[
p = 231 \times 7
\][/tex]

- This gives:
[tex]\[
p = 1617
\][/tex]

Thus, the solutions are:
- [tex]$ m = 3624 $[/tex]
- [tex]$ n = 9 $[/tex]
- [tex]$ p = 1617 $[/tex]

These values are based on the logical and step-by-step solution of the given equations.