7Z+1-Z=2z-7

is z = -2

7Z+1-Z=2z-7

7Z - Z - 2Z = -7 + (-1)
4Z = -6

Take it from there,

Z=-1.5

Right!

To check if z = -2 is a solution to the equation 7z + 1 - z = 2z - 7, we can substitute z = -2 into the equation and simplify both sides.

Substituting z = -2 into the equation:
7(-2) + 1 - (-2) = 2(-2) - 7

Simplifying both sides:
-14 + 1 + 2 = -4 - 7
-11 + 3 = -11
-8 ≠ -11

Since -8 is not equal to -11, z = -2 is not a solution to the equation 7z + 1 - z = 2z - 7.