42-6=6(z+2)+8

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Solution for 42-6=6(z+2)+8 equation: 


Simplifying
42 + -6 = 6(z + 2) + 8

Combine like terms: 42 + -6 = 36
36 = 6(z + 2) + 8

Reorder the terms:
36 = 6(2 + z) + 8
36 = (2 * 6 + z * 6) + 8
36 = (12 + 6z) + 8

Reorder the terms:
36 = 12 + 8 + 6z

Combine like terms: 12 + 8 = 20
36 = 20 + 6z

Solving
36 = 20 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
36 + -6z = 20 + 6z + -6z

Combine like terms: 6z + -6z = 0
36 + -6z = 20 + 0
36 + -6z = 20

Add '-36' to each side of the equation.
36 + -36 + -6z = 20 + -36

Combine like terms: 36 + -36 = 0
0 + -6z = 20 + -36
-6z = 20 + -36

Combine like terms: 20 + -36 = -16
-6z = -16

Divide each side by '-6'.
z = 2.666666667

Simplifying
z = 2.666666667

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