-[5z-(8z+4)]=4+(2z+1)

Solution for -[5z-(8z+4)]=4+(2z+1) equation:

Simplifying
-1[5z + -1(8z + 4)] = 4 + (2z + 1)

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

Reorder the terms:
-1[-4 + 5z + -8z] = 4 + (2z + 1)

Combine like terms: 5z + -8z = -3z
-1[-4 + -3z] = 4 + (2z + 1)
[-4 * -1 + -3z * -1] = 4 + (2z + 1)
[4 + 3z] = 4 + (2z + 1)

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

Remove parenthesis around (1 + 2z)
4 + 3z = 4 + 1 + 2z

Combine like terms: 4 + 1 = 5
4 + 3z = 5 + 2z

Solving
4 + 3z = 5 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
4 + 3z + -2z = 5 + 2z + -2z

Combine like terms: 3z + -2z = 1z
4 + 1z = 5 + 2z + -2z

Combine like terms: 2z + -2z = 0
4 + 1z = 5 + 0
4 + 1z = 5

Add '-4' to each side of the equation.
4 + -4 + 1z = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 1z = 5 + -4
1z = 5 + -4

Combine like terms: 5 + -4 = 1
1z = 1

Divide each side by '1'.
z = 1

Simplifying
z = 1