-[4z-(13z+3)]=3+(8z+7)

Solution for -[4z-(13z+3)]=3+(8z+7) equation:

Simplifying
-1[4z + -1(13z + 3)] = 3 + (8z + 7)

Reorder the terms:
-1[4z + -1(3 + 13z)] = 3 + (8z + 7)
-1[4z + (3 * -1 + 13z * -1)] = 3 + (8z + 7)
-1[4z + (-3 + -13z)] = 3 + (8z + 7)

Reorder the terms:
-1[-3 + 4z + -13z] = 3 + (8z + 7)

Combine like terms: 4z + -13z = -9z
-1[-3 + -9z] = 3 + (8z + 7)
[-3 * -1 + -9z * -1] = 3 + (8z + 7)
[3 + 9z] = 3 + (8z + 7)

Reorder the terms:
3 + 9z = 3 + (7 + 8z)

Remove parenthesis around (7 + 8z)
3 + 9z = 3 + 7 + 8z

Combine like terms: 3 + 7 = 10
3 + 9z = 10 + 8z

Solving
3 + 9z = 10 + 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.
3 + 9z + -8z = 10 + 8z + -8z

Combine like terms: 9z + -8z = 1z
3 + 1z = 10 + 8z + -8z

Combine like terms: 8z + -8z = 0
3 + 1z = 10 + 0
3 + 1z = 10

Add '-3' to each side of the equation.
3 + -3 + 1z = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 1z = 10 + -3
1z = 10 + -3

Combine like terms: 10 + -3 = 7
1z = 7

Divide each side by '1'.
z = 7

Simplifying
z = 7