8z-2(z-2)=z+3(42-1)

Solution for 8z-2(z-2)=z+3(42-1) equation:

Simplifying
8z + -2(z + -2) = z + 3(42 + -1)

Reorder the terms:
8z + -2(-2 + z) = z + 3(42 + -1)
8z + (-2 * -2 + z * -2) = z + 3(42 + -1)
8z + (4 + -2z) = z + 3(42 + -1)

Reorder the terms:
4 + 8z + -2z = z + 3(42 + -1)

Combine like terms: 8z + -2z = 6z
4 + 6z = z + 3(42 + -1)

Combine like terms: 42 + -1 = 41
4 + 6z = z + 3(41)

Multiply 3 * 41
4 + 6z = z + 123

Reorder the terms:
4 + 6z = 123 + z

Solving
4 + 6z = 123 + 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.
4 + 6z + -1z = 123 + z + -1z

Combine like terms: 6z + -1z = 5z
4 + 5z = 123 + z + -1z

Combine like terms: z + -1z = 0
4 + 5z = 123 + 0
4 + 5z = 123

Add '-4' to each side of the equation.
4 + -4 + 5z = 123 + -4

Combine like terms: 4 + -4 = 0
0 + 5z = 123 + -4
5z = 123 + -4

Combine like terms: 123 + -4 = 119
5z = 119

Divide each side by '5'.
z = 23.8

Simplifying
z = 23.8