-[9z-(15z+2)]=2+(5z+9)

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Solution for -[9z-(15z+2)]=2+(5z+9) equation:


Simplifying
-1[9z + -1(15z + 2)] = 2 + (5z + 9)

Reorder the terms:
-1[9z + -1(2 + 15z)] = 2 + (5z + 9)
-1[9z + (2 * -1 + 15z * -1)] = 2 + (5z + 9)
-1[9z + (-2 + -15z)] = 2 + (5z + 9)

Reorder the terms:
-1[-2 + 9z + -15z] = 2 + (5z + 9)

Combine like terms: 9z + -15z = -6z
-1[-2 + -6z] = 2 + (5z + 9)
[-2 * -1 + -6z * -1] = 2 + (5z + 9)
[2 + 6z] = 2 + (5z + 9)

Reorder the terms:
2 + 6z = 2 + (9 + 5z)

Remove parenthesis around (9 + 5z)
2 + 6z = 2 + 9 + 5z

Combine like terms: 2 + 9 = 11
2 + 6z = 11 + 5z

Solving
2 + 6z = 11 + 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.
2 + 6z + -5z = 11 + 5z + -5z

Combine like terms: 6z + -5z = 1z
2 + 1z = 11 + 5z + -5z

Combine like terms: 5z + -5z = 0
2 + 1z = 11 + 0
2 + 1z = 11

Add '-2' to each side of the equation.
2 + -2 + 1z = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 1z = 11 + -2
1z = 11 + -2

Combine like terms: 11 + -2 = 9
1z = 9

Divide each side by '1'.
z = 9

Simplifying
z = 9

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