-[9z-(16+5)]=5+(6z+6)

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Solution for -[9z-(16+5)]=5+(6z+6) equation:


Simplifying
-1[9z + -1(16 + 5)] = 5 + (6z + 6)

Combine like terms: 16 + 5 = 21
-1[9z + -1(21)] = 5 + (6z + 6)

Multiply -1 * 21
-1[9z + -21] = 5 + (6z + 6)

Reorder the terms:
-1[-21 + 9z] = 5 + (6z + 6)
[-21 * -1 + 9z * -1] = 5 + (6z + 6)
[21 + -9z] = 5 + (6z + 6)

Reorder the terms:
21 + -9z = 5 + (6 + 6z)

Remove parenthesis around (6 + 6z)
21 + -9z = 5 + 6 + 6z

Combine like terms: 5 + 6 = 11
21 + -9z = 11 + 6z

Solving
21 + -9z = 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.
21 + -9z + -6z = 11 + 6z + -6z

Combine like terms: -9z + -6z = -15z
21 + -15z = 11 + 6z + -6z

Combine like terms: 6z + -6z = 0
21 + -15z = 11 + 0
21 + -15z = 11

Add '-21' to each side of the equation.
21 + -21 + -15z = 11 + -21

Combine like terms: 21 + -21 = 0
0 + -15z = 11 + -21
-15z = 11 + -21

Combine like terms: 11 + -21 = -10
-15z = -10

Divide each side by '-15'.
z = 0.6666666667

Simplifying
z = 0.6666666667

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