To solve the equation \( 2d + 4 = 10 + 2.5d \), follow these steps:

1. **Isolate the variable terms on one side:** Subtract \( 2d \) from both sides to move the variable terms to one side of the equation.

   \[
   2d + 4 - 2d = 10 + 2.5d - 2d
   \]

   This simplifies to:

   \[
   4 = 10 + 0.5d
   \]

2. **Isolate the constant terms on the other side:** Subtract 10 from both sides to move the constants to the other side of the equation.

   \[
   4 - 10 = 0.5d
   \]

   This simplifies to:

   \[
   -6 = 0.5d
   \]

3. **Solve for \( d \):** Divide both sides by 0.5 to solve for \( d \).

   \[
   d = \frac{-6}{0.5}
   \]

   \[
   d = -12
   \]

So, the solution to the equation is \( d = -12 \).

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Would you like further details or have any questions about this solution?

Here are 5 related questions for practice:

1. Solve the equation \( 3x + 7 = 2x - 5 \).
2. If \( 5y - 3 = 2y + 9 \), what is the value of \( y \)?
3. Solve for \( n \) in the equation \( 4n + 8 = 3n + 20 \).
4. If \( 6m + 12 = 8m - 4 \), find \( m \).
5. Solve \( 7p - 5 = 2p + 10 \).

**Tip:** When solving linear equations, aim to isolate the variable on one side of the equation by using inverse operations, such as addition, subtraction, multiplication, and division.

Learn how to solve the equation 2d + 4 = 10 + 2.5d with a detailed step-by-step solution. This problem covers key algebraic concepts, including equation solving techniques. Suitable for students in Grades 7-9.

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