Final answer:
The value of z is 41.
Step-by-step explanation:
To find the value of z in the equation -26 + z = 15, we can isolate z by adding 26 to both sides of the equation:
-26 + z + 26 = 15 + 26
z = 41
Therefore, the solution to the equation is z = 41. This process involves the application of inverse operations to isolate the variable z on one side of the equation.
Understanding algebraic manipulations, such as isolating variables, is fundamental in solving equations and expressing relationships in mathematics. In this case, by performing the same operation on both sides of the equation, we maintain the equality and determine the value of z that satisfies the given equation. The solution z = 41 makes the equation -26 + z = 15 true, as -26 + 41 = 15.