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

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

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

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

Reorder the terms:
-4 + -2z = 6z + -3(2 + 3z)
-4 + -2z = 6z + (2 * -3 + 3z * -3)
-4 + -2z = 6z + (-6 + -9z)

Reorder the terms:
-4 + -2z = -6 + 6z + -9z

Combine like terms: 6z + -9z = -3z
-4 + -2z = -6 + -3z

Solving
-4 + -2z = -6 + -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.
-4 + -2z + 3z = -6 + -3z + 3z

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

Combine like terms: -3z + 3z = 0
-4 + 1z = -6 + 0
-4 + 1z = -6

Add '4' to each side of the equation.
-4 + 4 + 1z = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 1z = -6 + 4
1z = -6 + 4

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

Divide each side by '1'.
z = -2

Simplifying
z = -2