2z-7(z-3)=60

Solution for 2z-7(z-3)=60 equation:

Simplifying
2z + -7(z + -3) = 60

Reorder the terms:
2z + -7(-3 + z) = 60
2z + (-3 * -7 + z * -7) = 60
2z + (21 + -7z) = 60

Reorder the terms:
21 + 2z + -7z = 60

Combine like terms: 2z + -7z = -5z
21 + -5z = 60

Solving
21 + -5z = 60

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-21' to each side of the equation.
21 + -21 + -5z = 60 + -21

Combine like terms: 21 + -21 = 0
0 + -5z = 60 + -21
-5z = 60 + -21

Combine like terms: 60 + -21 = 39
-5z = 39

Divide each side by '-5'.
z = -7.8

Simplifying
z = -7.8