Bot GPT 4-o mini To determine how many solutions the equation \( 3(6m + 9) - 6 = 4m \) has, we can simplify the equation step by step.
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Distribute the 3 on the left side: \[ 3(6m + 9) = 18m + 27 \] So the equation becomes: \[ 18m + 27 - 6 = 4m \]
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Simplify the left side: \[ 18m + 21 = 4m \]
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Next, isolate the variable \( m \) by moving all terms involving \( m \) to one side and constant terms to the other: \[ 18m - 4m = -21 \] This simplifies to: \[ 14m = -21 \]
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Now solve for \( m \): \[ m = -\frac{21}{14} = -\frac{3}{2} \]
Since we found one specific value for \( m \), the equation has one solution.
Thus, the answer is: • one solution.
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