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

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

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

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

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

Solving
2 + 6z = -6 + -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.
2 + 6z + 2z = -6 + -2z + 2z

Combine like terms: 6z + 2z = 8z
2 + 8z = -6 + -2z + 2z

Combine like terms: -2z + 2z = 0
2 + 8z = -6 + 0
2 + 8z = -6

Add '-2' to each side of the equation.
2 + -2 + 8z = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 8z = -6 + -2
8z = -6 + -2

Combine like terms: -6 + -2 = -8
8z = -8

Divide each side by '8'.
z = -1

Simplifying
z = -1