We are given the equation:

\[
-(4+h) = 3h
\]

### Step 1: Distribute the negative sign
Apply the negative sign to both terms inside the parentheses:

\[
-4 - h = 3h
\]

### Step 2: Move terms involving \(h\) to one side
To isolate \(h\), add \(h\) to both sides of the equation:

\[
-4 = 3h + h
\]

This simplifies to:

\[
-4 = 4h
\]

### Step 3: Solve for \(h\)
Now, divide both sides by 4 to isolate \(h\):

\[
h = \frac{-4}{4}
\]

\[
h = -1
\]

So, the solution is \( h = -1 \).

Would you like more details, or do you have any other questions?

Here are some related questions to explore further:
1. What happens if you change the equation to \(-(4+h) = 5h\)?
2. How would you check the solution \(h = -1\) in the original equation?
3. Can you solve \(-(4 + 2h) = 3h\) using similar steps?
4. How do you solve equations with parentheses and distribution in more complex cases?
5. What if there was a fractional coefficient before \(h\)?

**Tip:** Always distribute negative signs carefully across parentheses to avoid errors when solving equations!

Learn how to solve the linear equation -(4+h) = 3h using the distributive property and combining like terms. This step-by-step solution walks you through the process, including isolating the variable and solving for h. 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