To solve the equation \( 74000 + 60.16d = 410.96d \) for \( d \), follow these steps:

### Step 1: Move all terms involving \( d \) to one side.
We subtract \( 60.16d \) from both sides:
\[
74000 = 410.96d - 60.16d
\]
This simplifies to:
\[
74000 = 350.8d
\]

### Step 2: Solve for \( d \).
Now, divide both sides by 350.8 to isolate \( d \):
\[
d = \frac{74000}{350.8}
\]
\[
d \approx 210.91
\]

So, \( d \approx 210.91 \).

Would you like further details or clarifications on any of the steps?

Here are 5 related questions to explore:
1. How do you solve equations with variables on both sides?
2. What are the steps for combining like terms in an equation?
3. How does dividing by a decimal affect the solution?
4. How would you solve for \( d \) if the equation had been \( 74000 + 60.16d = 410.96d + 5000 \)?
5. How can this method be applied to more complex equations involving fractions?

**Tip**: Always check your solution by substituting it back into the original equation!

74000 + (60.16 * d) = 410.96d solve for d

Learn how to solve the linear equation 74000 + 60.16d = 410.96d by isolating the variable. This problem involves key algebraic concepts, including combining like terms and dividing to isolate the variable. Suitable for students in Grades 9-11.

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