To solve the equation \( 2(m - 6) - 3 = 1 \), follow these steps:
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Distribute \( 2 \) to the terms inside the parentheses:
\[ 2m - 12 - 3 = 1 \]
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Combine like terms on the left side:
\[ 2m - 15 = 1 \]
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Add \( 15 \) to both sides:
\[ 2m = 1 + 15 \] \[ 2m = 16 \]
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Divide both sides by \( 2 \):
\[ m = \frac{16}{2} \] \[ m = 8 \]
So, the solution is \( m = 8 \).