10z+1=22z-6

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Solution for 10z+1=22z-6 equation:


Simplifying
10z + 1 = 22z + -6

Reorder the terms:
1 + 10z = 22z + -6

Reorder the terms:
1 + 10z = -6 + 22z

Solving
1 + 10z = -6 + 22z

Solving for variable 'z'.

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

Add '-22z' to each side of the equation.
1 + 10z + -22z = -6 + 22z + -22z

Combine like terms: 10z + -22z = -12z
1 + -12z = -6 + 22z + -22z

Combine like terms: 22z + -22z = 0
1 + -12z = -6 + 0
1 + -12z = -6

Add '-1' to each side of the equation.
1 + -1 + -12z = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -12z = -6 + -1
-12z = -6 + -1

Combine like terms: -6 + -1 = -7
-12z = -7

Divide each side by '-12'.
z = 0.5833333333

Simplifying
z = 0.5833333333

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