-[8z-(13z+7)]=7+(4z+2)

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Solution for -[8z-(13z+7)]=7+(4z+2) equation:


Simplifying
-1[8z + -1(13z + 7)] = 7 + (4z + 2)

Reorder the terms:
-1[8z + -1(7 + 13z)] = 7 + (4z + 2)
-1[8z + (7 * -1 + 13z * -1)] = 7 + (4z + 2)
-1[8z + (-7 + -13z)] = 7 + (4z + 2)

Reorder the terms:
-1[-7 + 8z + -13z] = 7 + (4z + 2)

Combine like terms: 8z + -13z = -5z
-1[-7 + -5z] = 7 + (4z + 2)
[-7 * -1 + -5z * -1] = 7 + (4z + 2)
[7 + 5z] = 7 + (4z + 2)

Reorder the terms:
7 + 5z = 7 + (2 + 4z)

Remove parenthesis around (2 + 4z)
7 + 5z = 7 + 2 + 4z

Combine like terms: 7 + 2 = 9
7 + 5z = 9 + 4z

Solving
7 + 5z = 9 + 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.
7 + 5z + -4z = 9 + 4z + -4z

Combine like terms: 5z + -4z = 1z
7 + 1z = 9 + 4z + -4z

Combine like terms: 4z + -4z = 0
7 + 1z = 9 + 0
7 + 1z = 9

Add '-7' to each side of the equation.
7 + -7 + 1z = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 1z = 9 + -7
1z = 9 + -7

Combine like terms: 9 + -7 = 2
1z = 2

Divide each side by '1'.
z = 2

Simplifying
z = 2

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