10z-z=-2+3z-2-8

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Solution for 10z-z=-2+3z-2-8 equation:


Simplifying
10z + -1z = -2 + 3z + -2 + -8

Combine like terms: 10z + -1z = 9z
9z = -2 + 3z + -2 + -8

Reorder the terms:
9z = -2 + -2 + -8 + 3z

Combine like terms: -2 + -2 = -4
9z = -4 + -8 + 3z

Combine like terms: -4 + -8 = -12
9z = -12 + 3z

Solving
9z = -12 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
9z + -3z = -12 + 3z + -3z

Combine like terms: 9z + -3z = 6z
6z = -12 + 3z + -3z

Combine like terms: 3z + -3z = 0
6z = -12 + 0
6z = -12

Divide each side by '6'.
z = -2

Simplifying
z = -2

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