8z+2=2(z-5)-2

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Solution for 8z+2=2(z-5)-2 equation: 


Simplifying
8z + 2 = 2(z + -5) + -2

Reorder the terms:
2 + 8z = 2(z + -5) + -2

Reorder the terms:
2 + 8z = 2(-5 + z) + -2
2 + 8z = (-5 * 2 + z * 2) + -2
2 + 8z = (-10 + 2z) + -2

Reorder the terms:
2 + 8z = -10 + -2 + 2z

Combine like terms: -10 + -2 = -12
2 + 8z = -12 + 2z

Solving
2 + 8z = -12 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
2 + 8z + -2z = -12 + 2z + -2z

Combine like terms: 8z + -2z = 6z
2 + 6z = -12 + 2z + -2z

Combine like terms: 2z + -2z = 0
2 + 6z = -12 + 0
2 + 6z = -12

Add '-2' to each side of the equation.
2 + -2 + 6z = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 6z = -12 + -2
6z = -12 + -2

Combine like terms: -12 + -2 = -14
6z = -14

Divide each side by '6'.
z = -2.333333333

Simplifying
z = -2.333333333

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