To solve the equation \( 7M - 8N = 217 \) for \( M \), we need to isolate \( M \) on one side of the equation.
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Start with the original equation: \[ 7M - 8N = 217 \]
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Add \( 8N \) to both sides of the equation to move the \( -8N \) to the right side: \[ 7M = 217 + 8N \]
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Now, divide both sides by 7 to solve for \( M \): \[ M = \frac{217 + 8N}{7} \]
This is the expression for \( M \) in terms of \( N \). If you have a specific value for \( N \), you can substitute it into this equation to find a numerical value for \( M \).
If \( N \) is not specified, the final answer is: \[ M = \frac{217 + 8N}{7} \]