$-3(2 m+1)+7=-5$

Step 1 ：Distribute the -3 to the terms inside the parentheses: \(-3 \times 2m + -3 \times 1 + 7 = -5\)

Step 2 ：Simplify the left side of the equation: \(-6m -3 + 7 = -5\)

Step 3 ：Combine like terms: \(-6m + 4 = -5\)

Step 4 ：Subtract 4 from both sides: \(-6m = -9\)

Step 5 ：Divide both sides by -6 to solve for m: \(m = \frac{3}{2}\)

Step 6 ：Final Answer: \(\boxed{\frac{3}{2}}\)