2(2z-3)-(1-3z)=0

Solution for 2(2z-3)-(1-3z)=0 equation:

Simplifying
2(2z + -3) + -1(1 + -3z) = 0

Reorder the terms:
2(-3 + 2z) + -1(1 + -3z) = 0
(-3 * 2 + 2z * 2) + -1(1 + -3z) = 0
(-6 + 4z) + -1(1 + -3z) = 0
-6 + 4z + (1 * -1 + -3z * -1) = 0
-6 + 4z + (-1 + 3z) = 0

Reorder the terms:
-6 + -1 + 4z + 3z = 0

Combine like terms: -6 + -1 = -7
-7 + 4z + 3z = 0

Combine like terms: 4z + 3z = 7z
-7 + 7z = 0

Solving
-7 + 7z = 0

Solving for variable 'z'.

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

Add '7' to each side of the equation.
-7 + 7 + 7z = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 7z = 0 + 7
7z = 0 + 7

Combine like terms: 0 + 7 = 7
7z = 7

Divide each side by '7'.
z = 1

Simplifying
z = 1