-[6z-(13z+10)]=10+(6z+6)

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Solution for -[6z-(13z+10)]=10+(6z+6) equation:


Simplifying
-1[6z + -1(13z + 10)] = 10 + (6z + 6)

Reorder the terms:
-1[6z + -1(10 + 13z)] = 10 + (6z + 6)
-1[6z + (10 * -1 + 13z * -1)] = 10 + (6z + 6)
-1[6z + (-10 + -13z)] = 10 + (6z + 6)

Reorder the terms:
-1[-10 + 6z + -13z] = 10 + (6z + 6)

Combine like terms: 6z + -13z = -7z
-1[-10 + -7z] = 10 + (6z + 6)
[-10 * -1 + -7z * -1] = 10 + (6z + 6)
[10 + 7z] = 10 + (6z + 6)

Reorder the terms:
10 + 7z = 10 + (6 + 6z)

Remove parenthesis around (6 + 6z)
10 + 7z = 10 + 6 + 6z

Combine like terms: 10 + 6 = 16
10 + 7z = 16 + 6z

Solving
10 + 7z = 16 + 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.
10 + 7z + -6z = 16 + 6z + -6z

Combine like terms: 7z + -6z = 1z
10 + 1z = 16 + 6z + -6z

Combine like terms: 6z + -6z = 0
10 + 1z = 16 + 0
10 + 1z = 16

Add '-10' to each side of the equation.
10 + -10 + 1z = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = 16 + -10
1z = 16 + -10

Combine like terms: 16 + -10 = 6
1z = 6

Divide each side by '1'.
z = 6

Simplifying
z = 6

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