8z-22=10z+33

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Solution for 8z-22=10z+33 equation:


Simplifying
8z + -22 = 10z + 33

Reorder the terms:
-22 + 8z = 10z + 33

Reorder the terms:
-22 + 8z = 33 + 10z

Solving
-22 + 8z = 33 + 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.
-22 + 8z + -10z = 33 + 10z + -10z

Combine like terms: 8z + -10z = -2z
-22 + -2z = 33 + 10z + -10z

Combine like terms: 10z + -10z = 0
-22 + -2z = 33 + 0
-22 + -2z = 33

Add '22' to each side of the equation.
-22 + 22 + -2z = 33 + 22

Combine like terms: -22 + 22 = 0
0 + -2z = 33 + 22
-2z = 33 + 22

Combine like terms: 33 + 22 = 55
-2z = 55

Divide each side by '-2'.
z = -27.5

Simplifying
z = -27.5

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