7z-(2z-8)=-2

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Solution for 7z-(2z-8)=-2 equation:


Simplifying
7z + -1(2z + -8) = -2

Reorder the terms:
7z + -1(-8 + 2z) = -2
7z + (-8 * -1 + 2z * -1) = -2
7z + (8 + -2z) = -2

Reorder the terms:
8 + 7z + -2z = -2

Combine like terms: 7z + -2z = 5z
8 + 5z = -2

Solving
8 + 5z = -2

Solving for variable 'z'.

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

Add '-8' to each side of the equation.
8 + -8 + 5z = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 5z = -2 + -8
5z = -2 + -8

Combine like terms: -2 + -8 = -10
5z = -10

Divide each side by '5'.
z = -2

Simplifying
z = -2

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