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

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


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

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

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

Reorder the terms:
-2 + -5z = -2(-2 + 5z) + -2
-2 + -5z = (-2 * -2 + 5z * -2) + -2
-2 + -5z = (4 + -10z) + -2

Reorder the terms:
-2 + -5z = 4 + -2 + -10z

Combine like terms: 4 + -2 = 2
-2 + -5z = 2 + -10z

Solving
-2 + -5z = 2 + -10z

Solving for variable 'z'.

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

Add '10z' to each side of the equation.
-2 + -5z + 10z = 2 + -10z + 10z

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

Combine like terms: -10z + 10z = 0
-2 + 5z = 2 + 0
-2 + 5z = 2

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

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

Combine like terms: 2 + 2 = 4
5z = 4

Divide each side by '5'.
z = 0.8

Simplifying
z = 0.8

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