9+3(z-3)=2z+1

Solution for 9+3(z-3)=2z+1 equation:

Simplifying
9 + 3(z + -3) = 2z + 1

Reorder the terms:
9 + 3(-3 + z) = 2z + 1
9 + (-3 * 3 + z * 3) = 2z + 1
9 + (-9 + 3z) = 2z + 1

Combine like terms: 9 + -9 = 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 = 1z
1z = 1 + 2z + -2z

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

Divide each side by '1'.
z = 1

Simplifying
z = 1