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

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

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

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

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

Combine like terms: 6 + -4 = 2
2 + 6z + -4z = (3z + -1)

Combine like terms: 6z + -4z = 2z
2 + 2z = (3z + -1)

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

Remove parenthesis around (-1 + 3z)
2 + 2z = -1 + 3z

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

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

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

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

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

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

Divide each side by '-1'.
z = 3

Simplifying
z = 3