-(4-5z)-2(-3z+4)-3z=-2(6-4z-8(1-z))

Solution for -(4-5z)-2(-3z+4)-3z=-2(6-4z-8(1-z)) equation:

Simplifying
-1(4 + -5z) + -2(-3z + 4) + -3z = -2(6 + -4z + -8(1 + -1z))
(4 * -1 + -5z * -1) + -2(-3z + 4) + -3z = -2(6 + -4z + -8(1 + -1z))
(-4 + 5z) + -2(-3z + 4) + -3z = -2(6 + -4z + -8(1 + -1z))

Reorder the terms:
-4 + 5z + -2(4 + -3z) + -3z = -2(6 + -4z + -8(1 + -1z))
-4 + 5z + (4 * -2 + -3z * -2) + -3z = -2(6 + -4z + -8(1 + -1z))
-4 + 5z + (-8 + 6z) + -3z = -2(6 + -4z + -8(1 + -1z))

Reorder the terms:
-4 + -8 + 5z + 6z + -3z = -2(6 + -4z + -8(1 + -1z))

Combine like terms: -4 + -8 = -12
-12 + 5z + 6z + -3z = -2(6 + -4z + -8(1 + -1z))

Combine like terms: 5z + 6z = 11z
-12 + 11z + -3z = -2(6 + -4z + -8(1 + -1z))

Combine like terms: 11z + -3z = 8z
-12 + 8z = -2(6 + -4z + -8(1 + -1z))
-12 + 8z = -2(6 + -4z + (1 * -8 + -1z * -8))
-12 + 8z = -2(6 + -4z + (-8 + 8z))

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

Combine like terms: 6 + -8 = -2
-12 + 8z = -2(-2 + -4z + 8z)

Combine like terms: -4z + 8z = 4z
-12 + 8z = -2(-2 + 4z)
-12 + 8z = (-2 * -2 + 4z * -2)
-12 + 8z = (4 + -8z)

Solving
-12 + 8z = 4 + -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 + 8z + 8z = 4 + -8z + 8z

Combine like terms: 8z + 8z = 16z
-12 + 16z = 4 + -8z + 8z

Combine like terms: -8z + 8z = 0
-12 + 16z = 4 + 0
-12 + 16z = 4

Add '12' to each side of the equation.
-12 + 12 + 16z = 4 + 12

Combine like terms: -12 + 12 = 0
0 + 16z = 4 + 12
16z = 4 + 12

Combine like terms: 4 + 12 = 16
16z = 16

Divide each side by '16'.
z = 1

Simplifying
z = 1