-(3z+4)=8z-3(3z+2)

Solution for -(3z+4)=8z-3(3z+2) equation:

Simplifying
-1(3z + 4) = 8z + -3(3z + 2)

Reorder the terms:
-1(4 + 3z) = 8z + -3(3z + 2)
(4 * -1 + 3z * -1) = 8z + -3(3z + 2)
(-4 + -3z) = 8z + -3(3z + 2)

Reorder the terms:
-4 + -3z = 8z + -3(2 + 3z)
-4 + -3z = 8z + (2 * -3 + 3z * -3)
-4 + -3z = 8z + (-6 + -9z)

Reorder the terms:
-4 + -3z = -6 + 8z + -9z

Combine like terms: 8z + -9z = -1z
-4 + -3z = -6 + -1z

Solving
-4 + -3z = -6 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-4 + -3z + z = -6 + -1z + z

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

Combine like terms: -1z + z = 0
-4 + -2z = -6 + 0
-4 + -2z = -6

Add '4' to each side of the equation.
-4 + 4 + -2z = -6 + 4

Combine like terms: -4 + 4 = 0
0 + -2z = -6 + 4
-2z = -6 + 4

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

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

Simplifying
z = 1