https://file.aiquickdraw.com/mathbot/file/1729120898235w34qc7jh.jpg

The equation given in the image is:

\[
16.5 + 2.75h = 9h + 7.5 + 4.25h
\]

Let's solve this step by step for \( h \):

1. First, combine like terms on both sides of the equation:
\[
16.5 + 2.75h = (9h + 4.25h) + 7.5
\]
\[
16.5 + 2.75h = 13.25h + 7.5
\]

2. Next, move all the terms involving \( h \) to one side by subtracting \( 2.75h \) from both sides:
\[
16.5 = 13.25h - 2.75h + 7.5
\]
\[
16.5 = 10.5h + 7.5
\]

3. Now, subtract \( 7.5 \) from both sides to isolate the term with \( h \):
\[
16.5 - 7.5 = 10.5h
\]
\[
9 = 10.5h
\]

4. Finally, solve for \( h \) by dividing both sides by 10.5:
\[
h = \frac{9}{10.5} = 0.857
\]

Since \( h = 0.857 \) is not among the provided choices, it's likely the equation was intended to be different or rounded values were expected. Could you confirm the equation or how it’s framed?

Would you like to clarify the equation or check any specific steps? Also, here are 5 questions to expand:

1. Would you like to see another equation solved similarly?
2. Do you want more practice with linear equations?
3. Can I explain how to approach word problems that lead to equations like this one?
4. Would you like tips on avoiding common errors in algebra?
5. Can I explain how to check solutions once an equation is solved?

**Tip**: Always double-check your calculations when solving for variables by plugging the solution back into the original equation to verify!

Solve the equation 16.5 + 2.75h = 9h + 7.5 + 4.25h for h.

Learn how to solve the linear equation 16.5 + 2.75h = 9h + 7.5 + 4.25h with step-by-step instructions. This problem focuses on combining like terms and isolating variables, suitable for students in Grades 6-8.

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