-[4z-(11z+8)]=8+(6z+3)

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Solution for -[4z-(11z+8)]=8+(6z+3) equation:


Simplifying
-1[4z + -1(11z + 8)] = 8 + (6z + 3)

Reorder the terms:
-1[4z + -1(8 + 11z)] = 8 + (6z + 3)
-1[4z + (8 * -1 + 11z * -1)] = 8 + (6z + 3)
-1[4z + (-8 + -11z)] = 8 + (6z + 3)

Reorder the terms:
-1[-8 + 4z + -11z] = 8 + (6z + 3)

Combine like terms: 4z + -11z = -7z
-1[-8 + -7z] = 8 + (6z + 3)
[-8 * -1 + -7z * -1] = 8 + (6z + 3)
[8 + 7z] = 8 + (6z + 3)

Reorder the terms:
8 + 7z = 8 + (3 + 6z)

Remove parenthesis around (3 + 6z)
8 + 7z = 8 + 3 + 6z

Combine like terms: 8 + 3 = 11
8 + 7z = 11 + 6z

Solving
8 + 7z = 11 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
8 + 7z + -6z = 11 + 6z + -6z

Combine like terms: 7z + -6z = 1z
8 + 1z = 11 + 6z + -6z

Combine like terms: 6z + -6z = 0
8 + 1z = 11 + 0
8 + 1z = 11

Add '-8' to each side of the equation.
8 + -8 + 1z = 11 + -8

Combine like terms: 8 + -8 = 0
0 + 1z = 11 + -8
1z = 11 + -8

Combine like terms: 11 + -8 = 3
1z = 3

Divide each side by '1'.
z = 3

Simplifying
z = 3

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