-[9z-(20z+9)]=9+(10z+2)

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Solution for -[9z-(20z+9)]=9+(10z+2) equation:


Simplifying
-1[9z + -1(20z + 9)] = 9 + (10z + 2)

Reorder the terms:
-1[9z + -1(9 + 20z)] = 9 + (10z + 2)
-1[9z + (9 * -1 + 20z * -1)] = 9 + (10z + 2)
-1[9z + (-9 + -20z)] = 9 + (10z + 2)

Reorder the terms:
-1[-9 + 9z + -20z] = 9 + (10z + 2)

Combine like terms: 9z + -20z = -11z
-1[-9 + -11z] = 9 + (10z + 2)
[-9 * -1 + -11z * -1] = 9 + (10z + 2)
[9 + 11z] = 9 + (10z + 2)

Reorder the terms:
9 + 11z = 9 + (2 + 10z)

Remove parenthesis around (2 + 10z)
9 + 11z = 9 + 2 + 10z

Combine like terms: 9 + 2 = 11
9 + 11z = 11 + 10z

Solving
9 + 11z = 11 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
9 + 11z + -10z = 11 + 10z + -10z

Combine like terms: 11z + -10z = 1z
9 + 1z = 11 + 10z + -10z

Combine like terms: 10z + -10z = 0
9 + 1z = 11 + 0
9 + 1z = 11

Add '-9' to each side of the equation.
9 + -9 + 1z = 11 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = 11 + -9
1z = 11 + -9

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

Divide each side by '1'.
z = 2

Simplifying
z = 2

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