How many solutions will the equation 23(6m+9)−6=4m have?(1 point) Responses no solution no solution one solution one solution infinite/many solutions infinite/many solutions two solutions

Answer 1

To solve the equation \( 23(6m + 9) - 6 = 4m \), let's first simplify it step by step.

1. Distribute \( 23 \) in the first term: \[ 23(6m) + 23(9) - 6 = 4m \] This becomes: \[ 138m + 207 - 6 = 4m \]

2. Combine the constants on the left side: \[ 138m + 201 = 4m \]

3. Now, move the term \( 4m \) to the left side: \[ 138m - 4m + 201 = 0 \] This simplifies to: \[ 134m + 201 = 0 \]

4. Isolate \( m \): \[ 134m = -201 \] \[ m = -\frac{201}{134} \]

This shows that there is a unique solution for \( m \).

Thus, the final answer is one solution.