-[6z-(16z+1)]=1+(9z+9)

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Solution for -[6z-(16z+1)]=1+(9z+9) equation:


Simplifying
-1[6z + -1(16z + 1)] = 1 + (9z + 9)

Reorder the terms:
-1[6z + -1(1 + 16z)] = 1 + (9z + 9)
-1[6z + (1 * -1 + 16z * -1)] = 1 + (9z + 9)
-1[6z + (-1 + -16z)] = 1 + (9z + 9)

Reorder the terms:
-1[-1 + 6z + -16z] = 1 + (9z + 9)

Combine like terms: 6z + -16z = -10z
-1[-1 + -10z] = 1 + (9z + 9)
[-1 * -1 + -10z * -1] = 1 + (9z + 9)
[1 + 10z] = 1 + (9z + 9)

Reorder the terms:
1 + 10z = 1 + (9 + 9z)

Remove parenthesis around (9 + 9z)
1 + 10z = 1 + 9 + 9z

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

Solving
1 + 10z = 10 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
1 + 10z + -9z = 10 + 9z + -9z

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

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

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

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

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

Divide each side by '1'.
z = 9

Simplifying
z = 9

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