3(2z+1)=6(z-1)-4(3z-3)

Solution for 3(2z+1)=6(z-1)-4(3z-3) equation:

Simplifying
3(2z + 1) = 6(z + -1) + -4(3z + -3)

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

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

Reorder the terms:
3 + 6z = -6 + 6z + -4(-3 + 3z)
3 + 6z = -6 + 6z + (-3 * -4 + 3z * -4)
3 + 6z = -6 + 6z + (12 + -12z)

Reorder the terms:
3 + 6z = -6 + 12 + 6z + -12z

Combine like terms: -6 + 12 = 6
3 + 6z = 6 + 6z + -12z

Combine like terms: 6z + -12z = -6z
3 + 6z = 6 + -6z

Solving
3 + 6z = 6 + -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
3 + 6z + 6z = 6 + -6z + 6z

Combine like terms: 6z + 6z = 12z
3 + 12z = 6 + -6z + 6z

Combine like terms: -6z + 6z = 0
3 + 12z = 6 + 0
3 + 12z = 6

Add '-3' to each side of the equation.
3 + -3 + 12z = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 12z = 6 + -3
12z = 6 + -3

Combine like terms: 6 + -3 = 3
12z = 3

Divide each side by '12'.
z = 0.25

Simplifying
z = 0.25