Final answer:
To evaluate the expression |6+z|-|-7|X=-6, first simplify the absolute value expressions. Then, solve for z by isolating the absolute value expression. There is no solution for z in this equation.
Step-by-step explanation:
To evaluate the expression |6+z|-|-7|X=-6, we first need to simplify the absolute value expressions. The absolute value of -7 is 7, and the absolute value of any number is always positive. So, the expression becomes |6+z|-7*X=-6.
Next, we multiply -7 with X, so the expression becomes |6+z|-7X=-6.
Finally, we solve for z by isolating the absolute value expression: |6+z| = -6 + 7X. Since absolute values can never be negative or zero, there is no solution for z in this equation.