`( 154 - 430) div 6 = 138 div ?`

Options

A. 3
B. `-3`
C. 9
D. `-9`

Answer

To solve the equation \( (154 - 430) \div 6 = 138 \div ? \), we can follow these steps:

### Step 1: Simplify the left side of the equation
First, we need to calculate \( 154 - 430 \):

\[ 154 - 430 = -276 \]

### Step 2: Substitute the result into the equation
Now we can rewrite the equation with the result from Step 1:

\[ (-276) \div 6 = 138 \div ? \]

### Step 3: Calculate the left side division
Next, we will divide \(-276\) by \(6\):

\[ -276 \div 6 = -46 \]

### Step 4: Rewrite the equation
Now we can rewrite the equation with the result from Step 3:

\[ -46 = 138 \div ? \]

### Step 5: Cross-multiply to solve for ?
To find the value of \( ? \), we can cross-multiply:

\[ -46 \cdot ? = 138 \]

### Step 6: Solve for ?
Now, we can solve for \( ? \) by dividing both sides by \(-46\):

\[ ? = \frac{138}{-46} \]

### Step 7: Simplify the division
Now we will simplify \( \frac{138}{-46} \):

\[ ? = -3 \]

### Conclusion
Thus, the value of the question mark \( ? \) is \(-3\).

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