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

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

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

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

Combine like terms: 6 + 6 = 12
12 + 2z = -4(2z + 6)

Reorder the terms:
12 + 2z = -4(6 + 2z)
12 + 2z = (6 * -4 + 2z * -4)
12 + 2z = (-24 + -8z)

Solving
12 + 2z = -24 + -8z

Solving for variable 'z'.

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

Add '8z' to each side of the equation.
12 + 2z + 8z = -24 + -8z + 8z

Combine like terms: 2z + 8z = 10z
12 + 10z = -24 + -8z + 8z

Combine like terms: -8z + 8z = 0
12 + 10z = -24 + 0
12 + 10z = -24

Add '-12' to each side of the equation.
12 + -12 + 10z = -24 + -12

Combine like terms: 12 + -12 = 0
0 + 10z = -24 + -12
10z = -24 + -12

Combine like terms: -24 + -12 = -36
10z = -36

Divide each side by '10'.
z = -3.6

Simplifying
z = -3.6