8-2(z-2)=5z

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


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

Reorder the terms:
8 + -2(-2 + z) = 5z
8 + (-2 * -2 + z * -2) = 5z
8 + (4 + -2z) = 5z

Combine like terms: 8 + 4 = 12
12 + -2z = 5z

Solving
12 + -2z = 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
12 + -2z + -5z = 5z + -5z

Combine like terms: -2z + -5z = -7z
12 + -7z = 5z + -5z

Combine like terms: 5z + -5z = 0
12 + -7z = 0

Add '-12' to each side of the equation.
12 + -12 + -7z = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7z = 0 + -12
-7z = 0 + -12

Combine like terms: 0 + -12 = -12
-7z = -12

Divide each side by '-7'.
z = 1.714285714

Simplifying
z = 1.714285714

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