-[5z-(13z+4)]=4+(7z+1)

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Solution for -[5z-(13z+4)]=4+(7z+1) equation:


Simplifying
-1[5z + -1(13z + 4)] = 4 + (7z + 1)

Reorder the terms:
-1[5z + -1(4 + 13z)] = 4 + (7z + 1)
-1[5z + (4 * -1 + 13z * -1)] = 4 + (7z + 1)
-1[5z + (-4 + -13z)] = 4 + (7z + 1)

Reorder the terms:
-1[-4 + 5z + -13z] = 4 + (7z + 1)

Combine like terms: 5z + -13z = -8z
-1[-4 + -8z] = 4 + (7z + 1)
[-4 * -1 + -8z * -1] = 4 + (7z + 1)
[4 + 8z] = 4 + (7z + 1)

Reorder the terms:
4 + 8z = 4 + (1 + 7z)

Remove parenthesis around (1 + 7z)
4 + 8z = 4 + 1 + 7z

Combine like terms: 4 + 1 = 5
4 + 8z = 5 + 7z

Solving
4 + 8z = 5 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
4 + 8z + -7z = 5 + 7z + -7z

Combine like terms: 8z + -7z = 1z
4 + 1z = 5 + 7z + -7z

Combine like terms: 7z + -7z = 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

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