22(z-20)+3z=10

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Solution for 22(z-20)+3z=10 equation: 


Simplifying
22(z + -20) + 3z = 10

Reorder the terms:
22(-20 + z) + 3z = 10
(-20 * 22 + z * 22) + 3z = 10
(-440 + 22z) + 3z = 10

Combine like terms: 22z + 3z = 25z
-440 + 25z = 10

Solving
-440 + 25z = 10

Solving for variable 'z'.

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

Add '440' to each side of the equation.
-440 + 440 + 25z = 10 + 440

Combine like terms: -440 + 440 = 0
0 + 25z = 10 + 440
25z = 10 + 440

Combine like terms: 10 + 440 = 450
25z = 450

Divide each side by '25'.
z = 18

Simplifying
z = 18

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