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

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

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

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

Combine like terms: 6 + -6 = 0
0 + 3z = -3z + 1
3z = -3z + 1

Reorder the terms:
3z = 1 + -3z

Solving
3z = 1 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
3z + 3z = 1 + -3z + 3z

Combine like terms: 3z + 3z = 6z
6z = 1 + -3z + 3z

Combine like terms: -3z + 3z = 0
6z = 1 + 0
6z = 1

Divide each side by '6'.
z = 0.1666666667

Simplifying
z = 0.1666666667