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

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

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

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

Combine like terms: 6 + -6 = 0
0 + 3z = -2z + 1
3z = -2z + 1

Reorder the terms:
3z = 1 + -2z

Solving
3z = 1 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
3z + 2z = 1 + -2z + 2z

Combine like terms: 3z + 2z = 5z
5z = 1 + -2z + 2z

Combine like terms: -2z + 2z = 0
5z = 1 + 0
5z = 1

Divide each side by '5'.
z = 0.2

Simplifying
z = 0.2