-[4z-(15z+8)]=8+(10z+1)

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Solution for -[4z-(15z+8)]=8+(10z+1) equation:


Simplifying
-1[4z + -1(15z + 8)] = 8 + (10z + 1)

Reorder the terms:
-1[4z + -1(8 + 15z)] = 8 + (10z + 1)
-1[4z + (8 * -1 + 15z * -1)] = 8 + (10z + 1)
-1[4z + (-8 + -15z)] = 8 + (10z + 1)

Reorder the terms:
-1[-8 + 4z + -15z] = 8 + (10z + 1)

Combine like terms: 4z + -15z = -11z
-1[-8 + -11z] = 8 + (10z + 1)
[-8 * -1 + -11z * -1] = 8 + (10z + 1)
[8 + 11z] = 8 + (10z + 1)

Reorder the terms:
8 + 11z = 8 + (1 + 10z)

Remove parenthesis around (1 + 10z)
8 + 11z = 8 + 1 + 10z

Combine like terms: 8 + 1 = 9
8 + 11z = 9 + 10z

Solving
8 + 11z = 9 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
8 + 11z + -10z = 9 + 10z + -10z

Combine like terms: 11z + -10z = 1z
8 + 1z = 9 + 10z + -10z

Combine like terms: 10z + -10z = 0
8 + 1z = 9 + 0
8 + 1z = 9

Add '-8' to each side of the equation.
8 + -8 + 1z = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 1z = 9 + -8
1z = 9 + -8

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

Divide each side by '1'.
z = 1

Simplifying
z = 1

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