9(z-2)=42-z

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Solution for 9(z-2)=42-z equation:


Simplifying
9(z + -2) = 42 + -1z

Reorder the terms:
9(-2 + z) = 42 + -1z
(-2 * 9 + z * 9) = 42 + -1z
(-18 + 9z) = 42 + -1z

Solving
-18 + 9z = 42 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-18 + 9z + z = 42 + -1z + z

Combine like terms: 9z + z = 10z
-18 + 10z = 42 + -1z + z

Combine like terms: -1z + z = 0
-18 + 10z = 42 + 0
-18 + 10z = 42

Add '18' to each side of the equation.
-18 + 18 + 10z = 42 + 18

Combine like terms: -18 + 18 = 0
0 + 10z = 42 + 18
10z = 42 + 18

Combine like terms: 42 + 18 = 60
10z = 60

Divide each side by '10'.
z = 6

Simplifying
z = 6

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