-[4z-(13z+7)]=7+(8z+0)

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Solution for -[4z-(13z+7)]=7+(8z+0) equation:


Simplifying
-1[4z + -1(13z + 7)] = 7 + (8z + 0)

Reorder the terms:
-1[4z + -1(7 + 13z)] = 7 + (8z + 0)
-1[4z + (7 * -1 + 13z * -1)] = 7 + (8z + 0)
-1[4z + (-7 + -13z)] = 7 + (8z + 0)

Reorder the terms:
-1[-7 + 4z + -13z] = 7 + (8z + 0)

Combine like terms: 4z + -13z = -9z
-1[-7 + -9z] = 7 + (8z + 0)
[-7 * -1 + -9z * -1] = 7 + (8z + 0)
[7 + 9z] = 7 + (8z + 0)

Reorder the terms:
7 + 9z = 7 + (0 + 8z)
Remove the zero:
7 + 9z = 7 + (8z)
7 + 9z = 7 + (8z)

Add '-7' to each side of the equation.
7 + -7 + 9z = 7 + -7 + (8z)

Combine like terms: 7 + -7 = 0
0 + 9z = 7 + -7 + (8z)
9z = 7 + -7 + (8z)

Combine like terms: 7 + -7 = 0
9z = 0 + (8z)
9z = (8z)

Solving
9z = (8z)

Solving for variable 'z'.

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

Add '(-8z)' to each side of the equation.
9z + (-8z) = (8z) + (-8z)

Combine like terms: 9z + (-8z) = 1z
1z = (8z) + (-8z)

Combine like terms: (8z) + (-8z) = 0
1z = 0

Divide each side by '1'.
z = 0

Simplifying
z = 0

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