-[9z-(17z+1)]=1+(7z+6)

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Solution for -[9z-(17z+1)]=1+(7z+6) equation:


Simplifying
-1[9z + -1(17z + 1)] = 1 + (7z + 6)

Reorder the terms:
-1[9z + -1(1 + 17z)] = 1 + (7z + 6)
-1[9z + (1 * -1 + 17z * -1)] = 1 + (7z + 6)
-1[9z + (-1 + -17z)] = 1 + (7z + 6)

Reorder the terms:
-1[-1 + 9z + -17z] = 1 + (7z + 6)

Combine like terms: 9z + -17z = -8z
-1[-1 + -8z] = 1 + (7z + 6)
[-1 * -1 + -8z * -1] = 1 + (7z + 6)
[1 + 8z] = 1 + (7z + 6)

Reorder the terms:
1 + 8z = 1 + (6 + 7z)

Remove parenthesis around (6 + 7z)
1 + 8z = 1 + 6 + 7z

Combine like terms: 1 + 6 = 7
1 + 8z = 7 + 7z

Solving
1 + 8z = 7 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
1 + 8z + -7z = 7 + 7z + -7z

Combine like terms: 8z + -7z = 1z
1 + 1z = 7 + 7z + -7z

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

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

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

Combine like terms: 7 + -1 = 6
1z = 6

Divide each side by '1'.
z = 6

Simplifying
z = 6

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