Bot GPT 4-o mini To determine how many solutions the equation \( 23(6m+9)-6=4m \) has, we can simplify it step by step.
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Distribute \( 23 \) on the left side: \[ 23 \times 6m + 23 \times 9 - 6 = 4m \] This simplifies to: \[ 138m + 207 - 6 = 4m \] \[ 138m + 201 = 4m \]
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Next, we'll move \( 4m \) to the left side: \[ 138m - 4m + 201 = 0 \] This simplifies to: \[ 134m + 201 = 0 \]
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Now, isolate \( m \): \[ 134m = -201 \] \[ m = -\frac{201}{134} \]
Since we found a unique value for \( m \), we conclude that the equation has exactly one solution.
The answer is: one solution.
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