6+2z-6(z-3)=z-1

Solution for 6+2z-6(z-3)=z-1 equation:

Simplifying
6 + 2z + -6(z + -3) = z + -1

Reorder the terms:
6 + 2z + -6(-3 + z) = z + -1
6 + 2z + (-3 * -6 + z * -6) = z + -1
6 + 2z + (18 + -6z) = z + -1

Reorder the terms:
6 + 18 + 2z + -6z = z + -1

Combine like terms: 6 + 18 = 24
24 + 2z + -6z = z + -1

Combine like terms: 2z + -6z = -4z
24 + -4z = z + -1

Reorder the terms:
24 + -4z = -1 + z

Solving
24 + -4z = -1 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
24 + -4z + -1z = -1 + z + -1z

Combine like terms: -4z + -1z = -5z
24 + -5z = -1 + z + -1z

Combine like terms: z + -1z = 0
24 + -5z = -1 + 0
24 + -5z = -1

Add '-24' to each side of the equation.
24 + -24 + -5z = -1 + -24

Combine like terms: 24 + -24 = 0
0 + -5z = -1 + -24
-5z = -1 + -24

Combine like terms: -1 + -24 = -25
-5z = -25

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

Simplifying
z = 5