5(8-2z)=4z-2

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Solution for 5(8-2z)=4z-2 equation:


Simplifying
5(8 + -2z) = 4z + -2
(8 * 5 + -2z * 5) = 4z + -2
(40 + -10z) = 4z + -2

Reorder the terms:
40 + -10z = -2 + 4z

Solving
40 + -10z = -2 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
40 + -10z + -4z = -2 + 4z + -4z

Combine like terms: -10z + -4z = -14z
40 + -14z = -2 + 4z + -4z

Combine like terms: 4z + -4z = 0
40 + -14z = -2 + 0
40 + -14z = -2

Add '-40' to each side of the equation.
40 + -40 + -14z = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -14z = -2 + -40
-14z = -2 + -40

Combine like terms: -2 + -40 = -42
-14z = -42

Divide each side by '-14'.
z = 3

Simplifying
z = 3

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