The equation 4(-8x + 12) = -26 - 32x simplifies to 48 = -26, which is not true. Therefore, there is no solution, indicating the equation is inconsistent.
To solve the equation 4(-8x + 12) = -26 - 32x, we start by expanding the left side:
4 * (-8x) = -32x
4 * 12 = 48
So the equation becomes -32x + 48 = -26 - 32x. Now we can cancel out the -32x terms because they are the same on both sides, leaving us with:
48 = -26
This statement is not true, which means there is no solution to the equation. The equation is inconsistent, suggesting an error in the original problem or an impossible situation where the variables cannot satisfy the equation.