3z-10=20+9z

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Solution for 3z-10=20+9z equation:


Simplifying
3z + -10 = 20 + 9z

Reorder the terms:
-10 + 3z = 20 + 9z

Solving
-10 + 3z = 20 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-10 + 3z + -9z = 20 + 9z + -9z

Combine like terms: 3z + -9z = -6z
-10 + -6z = 20 + 9z + -9z

Combine like terms: 9z + -9z = 0
-10 + -6z = 20 + 0
-10 + -6z = 20

Add '10' to each side of the equation.
-10 + 10 + -6z = 20 + 10

Combine like terms: -10 + 10 = 0
0 + -6z = 20 + 10
-6z = 20 + 10

Combine like terms: 20 + 10 = 30
-6z = 30

Divide each side by '-6'.
z = -5

Simplifying
z = -5

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