We are given the equation:

\[
15.3 + 1h = 1.3 - 1h
\]

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

### Step 1: Combine like terms
Move the terms involving \( h \) to one side of the equation, and the constants to the other side.

\[
15.3 + 1h + 1h = 1.3 - 1h + 1h
\]

This simplifies to:

\[
15.3 + 2h = 1.3
\]

### Step 2: Isolate the term with \( h \)
Subtract 15.3 from both sides of the equation to isolate the \( h \) term:

\[
2h = 1.3 - 15.3
\]

\[
2h = -14
\]

### Step 3: Solve for \( h \)
Now, divide both sides by 2:

\[
h = \frac{-14}{2} = -7
\]

Thus, \( h = -7 \).

Would you like more details or have any questions?

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Here are 5 related questions:

1. How do you check if \( h = -7 \) satisfies the original equation?
2. Can you solve \( 10 + 3x = 4 - 2x \)?
3. What happens when the variable term cancels out completely in an equation?
4. How would you solve \( 2h - 8 = 3h + 1 \)?
5. How do you solve a system of two equations involving two variables?

**Tip:** Always simplify equations step by step by moving terms involving the unknown variable to one side and constants to the other.

Learn how to solve the linear equation 15.3 + 1h = 1.3 - 1h step by step. This problem demonstrates key algebraic concepts, including combining like terms and isolating variables. Perfect for students in Grades 6-8 looking to strengthen their understanding of linear equations.

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