-[8z-(13z+10)]=10+(4z+9)

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Solution for -[8z-(13z+10)]=10+(4z+9) equation:


Simplifying
-1[8z + -1(13z + 10)] = 10 + (4z + 9)

Reorder the terms:
-1[8z + -1(10 + 13z)] = 10 + (4z + 9)
-1[8z + (10 * -1 + 13z * -1)] = 10 + (4z + 9)
-1[8z + (-10 + -13z)] = 10 + (4z + 9)

Reorder the terms:
-1[-10 + 8z + -13z] = 10 + (4z + 9)

Combine like terms: 8z + -13z = -5z
-1[-10 + -5z] = 10 + (4z + 9)
[-10 * -1 + -5z * -1] = 10 + (4z + 9)
[10 + 5z] = 10 + (4z + 9)

Reorder the terms:
10 + 5z = 10 + (9 + 4z)

Remove parenthesis around (9 + 4z)
10 + 5z = 10 + 9 + 4z

Combine like terms: 10 + 9 = 19
10 + 5z = 19 + 4z

Solving
10 + 5z = 19 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
10 + 5z + -4z = 19 + 4z + -4z

Combine like terms: 5z + -4z = 1z
10 + 1z = 19 + 4z + -4z

Combine like terms: 4z + -4z = 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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