https://file.aiquickdraw.com/mathbot/file/172739682656432qe27tk.jpg

The equation given in the image is:

\[
71h - 32h - 27 = 51
\]

### Step-by-step solution:

1. Combine the like terms \( 71h - 32h \):

\[
(71h - 32h) = 39h
\]

So, the equation becomes:

\[
39h - 27 = 51
\]

2. Add 27 to both sides to isolate the term with \( h \):

\[
39h = 51 + 27
\]

\[
39h = 78
\]

3. Divide both sides by 39:

\[
h = \frac{78}{39}
\]

\[
h = 2
\]

### Final answer: 
\[
h = 2
\]

Would you like more details on the steps? Here are some follow-up questions that might help further:

1. What happens if the constants on both sides were different?
2. How can you check if \( h = 2 \) is the correct solution?
3. How do you approach similar equations with fractions or decimals?
4. What if there were multiple variables in this equation?
5. How can combining like terms help simplify complex equations?

**Tip:** Always simplify the equation step by step to avoid errors when solving for variables.

Learn how to solve the linear equation 71h - 32h - 27 = 51 step by step. This problem covers essential algebraic concepts such as combining like terms and solving for variables. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation