https://file.aiquickdraw.com/mathbot/file/1726009840599rly3gbrn.jpg

The equation shown in the image is:

\[
10 - h = -4 + h
\]

To solve for \( h \), let's follow these steps:

1. First, get all the terms involving \( h \) on one side of the equation. Start by adding \( h \) to both sides:
\[
10 - h + h = -4 + h + h
\]
This simplifies to:
\[
10 = -4 + 2h
\]

2. Next, add 4 to both sides to isolate the \( 2h \) term:
\[
10 + 4 = 2h
\]
\[
14 = 2h
\]

3. Finally, divide both sides by 2 to solve for \( h \):
\[
h = \frac{14}{2} = 7
\]

Thus, the solution is:
\[
h = 7
\]

Would you like a more detailed explanation, or do you have any questions about the steps?

Here are 5 related questions to further explore the concept:
1. How do you solve an equation where variables appear on both sides?
2. What happens if there are multiple variables in the equation?
3. Can you verify the solution by substituting \( h = 7 \) back into the original equation?
4. How do we handle equations with fractions or decimals in similar problems?
5. What strategies can be used when equations become more complex with more terms?

**Tip:** Always check your solution by substituting it back into the original equation to ensure that both sides are equal.

Learn how to solve the linear equation 10 - h = -4 + h through a step-by-step approach. This problem involves basic algebraic concepts, including isolating variables and simplifying both sides of the equation. Ideal for students in Grades 7-9.

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