Let’s solve the expression provided in the image step-by-step.

Expression:

$3a + c + 3 + 3c$

Given Values:

• $a = -2$
• $b = \frac{1}{3}$
• $c = 4.5$
• $d = 10$

Substitution:

Replace $a$ and $c$ with their respective values:

$3(-2) + 4.5 + 3 + 3(4.5)$

Simplify:

1. $3(-2) = -6$
2. $3(4.5) = 13.5$

Now substitute these results:

$-6 + 4.5 + 3 + 13.5$

3. Combine terms step-by-step:
   • $-6 + 4.5 = -1.5$
   • $-1.5 + 3 = 1.5$
   • $1.5 + 13.5 = 15$

Final Answer:

$15$

Let me know if you'd like more details or have other questions!

Expanding Your Understanding:

1. What happens if $a$ or $c$ were changed to different values?
2. How does the distributive property simplify such expressions?
3. What is the role of combining like terms in equations?
4. How can negative numbers change the outcome of similar equations?
5. What other ways could this problem be set up algebraically?

Tip: Always substitute carefully and simplify step-by-step to avoid mistakes!