-42=-6(z-3)

Solution for -42=-6(z-3) equation:

Simplifying
-42 = -6(z + -3)

Reorder the terms:
-42 = -6(-3 + z)
-42 = (-3 * -6 + z * -6)
-42 = (18 + -6z)

Solving
-42 = 18 + -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
-42 + 6z = 18 + -6z + 6z

Combine like terms: -6z + 6z = 0
-42 + 6z = 18 + 0
-42 + 6z = 18

Add '42' to each side of the equation.
-42 + 42 + 6z = 18 + 42

Combine like terms: -42 + 42 = 0
0 + 6z = 18 + 42
6z = 18 + 42

Combine like terms: 18 + 42 = 60
6z = 60

Divide each side by '6'.
z = 10

Simplifying
z = 10