1 answer
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To determine how many solutions the equation \( 23(6m + 9) - 6 = 4m \) has, let's first simplify the equation step by step.
1. Distribute the \( 23 \):
\[
23(6m) + 23(9) - 6 = 4m
\]
This becomes:
\[
138m + 207 - 6 = 4m
\]
2. Combine the constant terms:
\[
138m + 201 = 4m
\]
3. Now, isolate the \( m \) terms on one side:
\[
138m - 4m + 201 = 0
\]
This simplifies to:
\[
134m + 201 = 0
\]
4. Solving for \( m \):
\[
134m = -201
\]
\[
m = -\frac{201}{134}
\]
Since we found one specific value for \( m \), there is **one solution** to the equation.
Thus, the correct response is:
**one solution**.