-[2z-(11z+6)]=6+(8z+5)

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Solution for -[2z-(11z+6)]=6+(8z+5) equation:


Simplifying
-1[2z + -1(11z + 6)] = 6 + (8z + 5)

Reorder the terms:
-1[2z + -1(6 + 11z)] = 6 + (8z + 5)
-1[2z + (6 * -1 + 11z * -1)] = 6 + (8z + 5)
-1[2z + (-6 + -11z)] = 6 + (8z + 5)

Reorder the terms:
-1[-6 + 2z + -11z] = 6 + (8z + 5)

Combine like terms: 2z + -11z = -9z
-1[-6 + -9z] = 6 + (8z + 5)
[-6 * -1 + -9z * -1] = 6 + (8z + 5)
[6 + 9z] = 6 + (8z + 5)

Reorder the terms:
6 + 9z = 6 + (5 + 8z)

Remove parenthesis around (5 + 8z)
6 + 9z = 6 + 5 + 8z

Combine like terms: 6 + 5 = 11
6 + 9z = 11 + 8z

Solving
6 + 9z = 11 + 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.
6 + 9z + -8z = 11 + 8z + -8z

Combine like terms: 9z + -8z = 1z
6 + 1z = 11 + 8z + -8z

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

Add '-6' to each side of the equation.
6 + -6 + 1z = 11 + -6

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

Combine like terms: 11 + -6 = 5
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5

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