-[9z-(17z+10)]=10+(7z+1)

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Solution for -[9z-(17z+10)]=10+(7z+1) equation:


Simplifying
-1[9z + -1(17z + 10)] = 10 + (7z + 1)

Reorder the terms:
-1[9z + -1(10 + 17z)] = 10 + (7z + 1)
-1[9z + (10 * -1 + 17z * -1)] = 10 + (7z + 1)
-1[9z + (-10 + -17z)] = 10 + (7z + 1)

Reorder the terms:
-1[-10 + 9z + -17z] = 10 + (7z + 1)

Combine like terms: 9z + -17z = -8z
-1[-10 + -8z] = 10 + (7z + 1)
[-10 * -1 + -8z * -1] = 10 + (7z + 1)
[10 + 8z] = 10 + (7z + 1)

Reorder the terms:
10 + 8z = 10 + (1 + 7z)

Remove parenthesis around (1 + 7z)
10 + 8z = 10 + 1 + 7z

Combine like terms: 10 + 1 = 11
10 + 8z = 11 + 7z

Solving
10 + 8z = 11 + 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.
10 + 8z + -7z = 11 + 7z + -7z

Combine like terms: 8z + -7z = 1z
10 + 1z = 11 + 7z + -7z

Combine like terms: 7z + -7z = 0
10 + 1z = 11 + 0
10 + 1z = 11

Add '-10' to each side of the equation.
10 + -10 + 1z = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = 11 + -10
1z = 11 + -10

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

Divide each side by '1'.
z = 1

Simplifying
z = 1

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