To solve and verify the equation 4(m - 7) = 3(2m - 5), we first distribute 4 and 3 across the terms inside the parenthesis.
The equation becomes 4m - 28 = 6m - 15.
To solve, we'll get the terms with 'm' on one side of the equation, and the constants on the other side.
Subtracting 4m from both sides, we get -28 = 2m - 15.
Then adding 15 to both sides, we get -13 = 2m.
Finally, to solve for m, divide both sides by 2.
Therefore, we derive m = -13 / 2 = -6.5.
Next, we verify the solution by substituting m = -6.5 back into the original equation to check if both sides are equal.
The left side of the equation is: 4((-6.5) - 7).
The right side of the equation is: 3*(2*(-6.5) - 5).
After performing these calculations, if we find the left side of the equation equals to the right side, that means our solution is correct.
The correct solution for the given equation is m = -6.5. And after verification, we have checked that this solution is correct.