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

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

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

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

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

Combine like terms: 6 + -6 = 0
-4 + -3Z = 0 + -9Z
-4 + -3Z = -9Z

Solving
-4 + -3Z = -9Z

Solving for variable 'Z'.

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

Add '9Z' to each side of the equation.
-4 + -3Z + 9Z = -9Z + 9Z

Combine like terms: -3Z + 9Z = 6Z
-4 + 6Z = -9Z + 9Z

Combine like terms: -9Z + 9Z = 0
-4 + 6Z = 0

Add '4' to each side of the equation.
-4 + 4 + 6Z = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 6Z = 0 + 4
6Z = 0 + 4

Combine like terms: 0 + 4 = 4
6Z = 4

Divide each side by '6'.
Z = 0.6666666667

Simplifying
Z = 0.6666666667