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

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

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

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

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

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

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

Reorder the terms:
2 + 2z = -1(-1 + 3z)
2 + 2z = (-1 * -1 + 3z * -1)
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 = 5z
2 + 5z = 1 + -3z + 3z

Combine like terms: -3z + 3z = 0
2 + 5z = 1 + 0
2 + 5z = 1

Add '-2' to each side of the equation.
2 + -2 + 5z = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 5z = 1 + -2
5z = 1 + -2

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

Divide each side by '5'.
z = -0.2

Simplifying
z = -0.2