-[8z-(14z+5)]=5+(5z+4)

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Solution for -[8z-(14z+5)]=5+(5z+4) equation:


Simplifying
-1[8z + -1(14z + 5)] = 5 + (5z + 4)

Reorder the terms:
-1[8z + -1(5 + 14z)] = 5 + (5z + 4)
-1[8z + (5 * -1 + 14z * -1)] = 5 + (5z + 4)
-1[8z + (-5 + -14z)] = 5 + (5z + 4)

Reorder the terms:
-1[-5 + 8z + -14z] = 5 + (5z + 4)

Combine like terms: 8z + -14z = -6z
-1[-5 + -6z] = 5 + (5z + 4)
[-5 * -1 + -6z * -1] = 5 + (5z + 4)
[5 + 6z] = 5 + (5z + 4)

Reorder the terms:
5 + 6z = 5 + (4 + 5z)

Remove parenthesis around (4 + 5z)
5 + 6z = 5 + 4 + 5z

Combine like terms: 5 + 4 = 9
5 + 6z = 9 + 5z

Solving
5 + 6z = 9 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
5 + 6z + -5z = 9 + 5z + -5z

Combine like terms: 6z + -5z = 1z
5 + 1z = 9 + 5z + -5z

Combine like terms: 5z + -5z = 0
5 + 1z = 9 + 0
5 + 1z = 9

Add '-5' to each side of the equation.
5 + -5 + 1z = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 1z = 9 + -5
1z = 9 + -5

Combine like terms: 9 + -5 = 4
1z = 4

Divide each side by '1'.
z = 4

Simplifying
z = 4

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