Answer:
To solve the equation -7(1-4m)=13(2m-3), we can start by simplifying each side of the equation:
-7(1-4m) = 13(2m-3)
-7 + 28m = 26m - 39 (distributing the -7 and 13)
Next, we can simplify further by combining like terms:
28m - 26m = -39 + 7
2m = -32
Finally, we can solve for m by dividing both sides of the equation by 2:
m = -16
Therefore, the solution to the equation -7(1-4m)=13(2m-3) is m = -16.