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

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


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

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

Reorder the terms:
2 + 4z = 2(-8 + 5z)
2 + 4z = (-8 * 2 + 5z * 2)
2 + 4z = (-16 + 10z)

Solving
2 + 4z = -16 + 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 + 4z + -10z = -16 + 10z + -10z

Combine like terms: 4z + -10z = -6z
2 + -6z = -16 + 10z + -10z

Combine like terms: 10z + -10z = 0
2 + -6z = -16 + 0
2 + -6z = -16

Add '-2' to each side of the equation.
2 + -2 + -6z = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -6z = -16 + -2
-6z = -16 + -2

Combine like terms: -16 + -2 = -18
-6z = -18

Divide each side by '-6'.
z = 3

Simplifying
z = 3

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