https://file.aiquickdraw.com/mathbot/file/1728412169726y1ctmxy0.jpg

The equation shown in the image is:

\[
d = 3m + 4n
\]

You are asked to solve for \( n \). Let's solve this step-by-step.

### Step 1: Start with the given equation:
\[
d = 3m + 4n
\]

### Step 2: Subtract \( 3m \) from both sides to isolate the term with \( n \):
\[
d - 3m = 4n
\]

### Step 3: Now, divide both sides by 4 to solve for \( n \):
\[
n = \frac{d - 3m}{4}
\]

Thus, the solution is:
\[
n = \frac{d - 3m}{4}
\]

Would you like further clarification on any steps or more details? Here are five related questions you might find helpful:

1. How do you solve for \( m \) in the equation \( d = 3m + 4n \)?
2. What is the method to solve similar linear equations for one variable in terms of others?
3. How can this equation be applied in a practical context, like physics or engineering?
4. What happens to the equation if \( d = 0 \)?
5. Can you express \( n \) in terms of other variables using different techniques?

**Tip**: When solving for a variable, always try to isolate the variable step by step, by performing inverse operations in the reverse order of PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Learn how to solve the linear equation d = 3m + 4n for the variable n. This problem demonstrates key algebraic concepts, including isolating variables and using inverse operations. Suitable for students in Grades 8-10.

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