-[9z-(12z+10)]=10+(2z+9)

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Solution for -[9z-(12z+10)]=10+(2z+9) equation:


Simplifying
-1[9z + -1(12z + 10)] = 10 + (2z + 9)

Reorder the terms:
-1[9z + -1(10 + 12z)] = 10 + (2z + 9)
-1[9z + (10 * -1 + 12z * -1)] = 10 + (2z + 9)
-1[9z + (-10 + -12z)] = 10 + (2z + 9)

Reorder the terms:
-1[-10 + 9z + -12z] = 10 + (2z + 9)

Combine like terms: 9z + -12z = -3z
-1[-10 + -3z] = 10 + (2z + 9)
[-10 * -1 + -3z * -1] = 10 + (2z + 9)
[10 + 3z] = 10 + (2z + 9)

Reorder the terms:
10 + 3z = 10 + (9 + 2z)

Remove parenthesis around (9 + 2z)
10 + 3z = 10 + 9 + 2z

Combine like terms: 10 + 9 = 19
10 + 3z = 19 + 2z

Solving
10 + 3z = 19 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
10 + 3z + -2z = 19 + 2z + -2z

Combine like terms: 3z + -2z = 1z
10 + 1z = 19 + 2z + -2z

Combine like terms: 2z + -2z = 0
10 + 1z = 19 + 0
10 + 1z = 19

Add '-10' to each side of the equation.
10 + -10 + 1z = 19 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = 19 + -10
1z = 19 + -10

Combine like terms: 19 + -10 = 9
1z = 9

Divide each side by '1'.
z = 9

Simplifying
z = 9

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