-[9z-(15z+1)]=1+(5z+3)

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Solution for -[9z-(15z+1)]=1+(5z+3) equation:


Simplifying
-1[9z + -1(15z + 1)] = 1 + (5z + 3)

Reorder the terms:
-1[9z + -1(1 + 15z)] = 1 + (5z + 3)
-1[9z + (1 * -1 + 15z * -1)] = 1 + (5z + 3)
-1[9z + (-1 + -15z)] = 1 + (5z + 3)

Reorder the terms:
-1[-1 + 9z + -15z] = 1 + (5z + 3)

Combine like terms: 9z + -15z = -6z
-1[-1 + -6z] = 1 + (5z + 3)
[-1 * -1 + -6z * -1] = 1 + (5z + 3)
[1 + 6z] = 1 + (5z + 3)

Reorder the terms:
1 + 6z = 1 + (3 + 5z)

Remove parenthesis around (3 + 5z)
1 + 6z = 1 + 3 + 5z

Combine like terms: 1 + 3 = 4
1 + 6z = 4 + 5z

Solving
1 + 6z = 4 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
1 + 6z + -5z = 4 + 5z + -5z

Combine like terms: 6z + -5z = 1z
1 + 1z = 4 + 5z + -5z

Combine like terms: 5z + -5z = 0
1 + 1z = 4 + 0
1 + 1z = 4

Add '-1' to each side of the equation.
1 + -1 + 1z = 4 + -1

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

Combine like terms: 4 + -1 = 3
1z = 3

Divide each side by '1'.
z = 3

Simplifying
z = 3

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