-[2z-(9z+2)]=2+(6z+5)

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Solution for -[2z-(9z+2)]=2+(6z+5) equation:


Simplifying
-1[2z + -1(9z + 2)] = 2 + (6z + 5)

Reorder the terms:
-1[2z + -1(2 + 9z)] = 2 + (6z + 5)
-1[2z + (2 * -1 + 9z * -1)] = 2 + (6z + 5)
-1[2z + (-2 + -9z)] = 2 + (6z + 5)

Reorder the terms:
-1[-2 + 2z + -9z] = 2 + (6z + 5)

Combine like terms: 2z + -9z = -7z
-1[-2 + -7z] = 2 + (6z + 5)
[-2 * -1 + -7z * -1] = 2 + (6z + 5)
[2 + 7z] = 2 + (6z + 5)

Reorder the terms:
2 + 7z = 2 + (5 + 6z)

Remove parenthesis around (5 + 6z)
2 + 7z = 2 + 5 + 6z

Combine like terms: 2 + 5 = 7
2 + 7z = 7 + 6z

Solving
2 + 7z = 7 + 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.
2 + 7z + -6z = 7 + 6z + -6z

Combine like terms: 7z + -6z = 1z
2 + 1z = 7 + 6z + -6z

Combine like terms: 6z + -6z = 0
2 + 1z = 7 + 0
2 + 1z = 7

Add '-2' to each side of the equation.
2 + -2 + 1z = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 1z = 7 + -2
1z = 7 + -2

Combine like terms: 7 + -2 = 5
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5

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