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The given problem is in Indonesian, and it can be translated as follows:

**Problem Statement:**

Given the matrix equation:
\[
2 \begin{bmatrix} 3 & a \\ 4 & 2 \end{bmatrix} + \begin{bmatrix} b & 0 \\ 1 & 3 \end{bmatrix} = \begin{bmatrix} 8 & 2 \\ c & 10 \end{bmatrix}
\]

You are asked to find the value of \( 2a + b - c \).

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### Step-by-Step Solution:

First, let's solve for the unknowns \( a \), \( b \), and \( c \) by solving the matrix equation. 

1. **Expand the first term**:
   \[
   2 \begin{bmatrix} 3 & a \\ 4 & 2 \end{bmatrix} = \begin{bmatrix} 6 & 2a \\ 8 & 4 \end{bmatrix}
   \]

2. **Add the matrices**:
   Now add the matrices element-wise:
   \[
   \begin{bmatrix} 6 & 2a \\ 8 & 4 \end{bmatrix} + \begin{bmatrix} b & 0 \\ 1 & 3 \end{bmatrix} = \begin{bmatrix} 8 & 2 \\ c & 10 \end{bmatrix}
   \]

   This gives us the system of equations:
   - First row, first column: \( 6 + b = 8 \) ⟹ \( b = 2 \)
   - First row, second column: \( 2a + 0 = 2 \) ⟹ \( 2a = 2 \) ⟹ \( a = 1 \)
   - Second row, first column: \( 8 + 1 = c \) ⟹ \( c = 9 \)
   - Second row, second column: \( 4 + 3 = 10 \) ⟹ This holds true, so no new information here.

3. **Substitute the values**:
   Now substitute the values of \( a = 1 \), \( b = 2 \), and \( c = 9 \) into the expression \( 2a + b - c \):
   \[
   2(1) + 2 - 9 = 2 + 2 - 9 = -5
   \]

Thus, the value of \( 2a + b - c \) is \( \boxed{-5} \).

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Would you like further details on any part of this solution?

### Related Questions:
1. How do you perform scalar multiplication in matrices?
2. How can we solve systems of equations derived from matrices?
3. What properties of matrix addition are useful in solving equations?
4. How does matrix multiplication differ from element-wise addition?
5. How do determinants and inverses factor into matrix equations?

### Tip:
When solving matrix equations, always ensure that matrix dimensions match for the operations (e.g., addition or scalar multiplication) to be valid.

Jika 2[3  a] + [b 0] = [8 2], Maka nilai dari 2a + b - c = …

Learn how to solve the matrix equation 2[A] + [B] = [C] and find the value of 2a + b - c. This problem involves scalar multiplication and matrix addition, suitable for Grades 9-12.

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