for what value of s are the expressions 3s + 4 and 7s -6 equal ?

To find the value of \( s \) for which the expressions \( 3s + 4 \) and \( 7s - 6 \) are equal, we can set the two expressions equal to each other:

\[ 3s + 4 = 7s - 6 \]

Now, let's solve for \( s \):

1. Subtract \( 3s \) from both sides: \[ 4 = 7s - 3s - 6 \] Simplifying this, we get: \[ 4 = 4s - 6 \]

2. Now, add \( 6 \) to both sides: \[ 4 + 6 = 4s \] This simplifies to: \[ 10 = 4s \]

3. Finally, divide by \( 4 \): \[ s = \frac{10}{4} = \frac{5}{2} \]

So, the value of \( s \) for which the expressions \( 3s + 4 \) and \( 7s - 6 \) are equal is \( s = \frac{5}{2} \).