-[4z-(13z+5)]=5+(8z+3)

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Solution for -[4z-(13z+5)]=5+(8z+3) equation:


Simplifying
-1[4z + -1(13z + 5)] = 5 + (8z + 3)

Reorder the terms:
-1[4z + -1(5 + 13z)] = 5 + (8z + 3)
-1[4z + (5 * -1 + 13z * -1)] = 5 + (8z + 3)
-1[4z + (-5 + -13z)] = 5 + (8z + 3)

Reorder the terms:
-1[-5 + 4z + -13z] = 5 + (8z + 3)

Combine like terms: 4z + -13z = -9z
-1[-5 + -9z] = 5 + (8z + 3)
[-5 * -1 + -9z * -1] = 5 + (8z + 3)
[5 + 9z] = 5 + (8z + 3)

Reorder the terms:
5 + 9z = 5 + (3 + 8z)

Remove parenthesis around (3 + 8z)
5 + 9z = 5 + 3 + 8z

Combine like terms: 5 + 3 = 8
5 + 9z = 8 + 8z

Solving
5 + 9z = 8 + 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.
5 + 9z + -8z = 8 + 8z + -8z

Combine like terms: 9z + -8z = 1z
5 + 1z = 8 + 8z + -8z

Combine like terms: 8z + -8z = 0
5 + 1z = 8 + 0
5 + 1z = 8

Add '-5' to each side of the equation.
5 + -5 + 1z = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 1z = 8 + -5
1z = 8 + -5

Combine like terms: 8 + -5 = 3
1z = 3

Divide each side by '1'.
z = 3

Simplifying
z = 3

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