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

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

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

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

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

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

Solving
2z = 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.
2z + 3z = 1 + -3z + 3z

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

Combine like terms: -3z + 3z = 0
5z = 1 + 0
5z = 1

Divide each side by '5'.
z = 0.2

Simplifying
z = 0.2