Final answer:
After simplification of the given equation, the variable terms cancel each other out. The resulting statement is -23 = -23, which is true for all real numbers. Thus, the equation has infinitely many solutions, meaning any real number is a solution for m.
Step-by-step explanation:
To solve the equation 1 - 4(m + 6) = -23 - 4m, we should first distribute the -4 across the parentheses on the left side of the equation.
So, the equation becomes 1 - 4m - 24 = -23 - 4m.
Next, we can simplify the equation by combining like terms on the left, which gives us -4m - 23 = -23 - 4m.
From here, we can see that the terms involving m on both sides are identical and can be canceled out. The equation thus simplifies to -23 = -23, which is true for all values of m.
Therefore, the equation does not give us a single unique solution for m. Instead, m can be any real number, and the equation would still hold.