To solve the expression \(0.75 + \frac{18}{21} + \frac{19}{32} + \frac{1}{4} + \frac{3}{21} + \frac{13}{32}\), we need to add all these fractions and the decimal together. Let's break it down step by step.

First, let's convert the decimal \(0.75\) to a fraction:
\[ 0.75 = \frac{75}{100} = \frac{3}{4} \]

Now, the expression becomes:
\[ \frac{3}{4} + \frac{18}{21} + \frac{19}{32} + \frac{1}{4} + \frac{3}{21} + \frac{13}{32} \]

Next, let's simplify the fractions where possible:
\[ \frac{18}{21} = \frac{6}{7} \]
\[ \frac{3}{21} = \frac{1}{7} \]

Now the expression is:
\[ \frac{3}{4} + \frac{6}{7} + \frac{19}{32} + \frac{1}{4} + \frac{1}{7} + \frac{13}{32} \]

Combine the fractions with common denominators:
\[ \frac{3}{4} + \frac{1}{4} = \frac{4}{4} = 1 \]
\[ \frac{6}{7} + \frac{1}{7} = \frac{7}{7} = 1 \]
\[ \frac{19}{32} + \frac{13}{32} = \frac{32}{32} = 1 \]

Now, the expression simplifies to:
\[ 1 + 1 + 1 = 3 \]

So, the value of the expression is:
\[ 3 \]