12z-1=z+32

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Solution for 12z-1=z+32 equation:


Simplifying
12z + -1 = z + 32

Reorder the terms:
-1 + 12z = z + 32

Reorder the terms:
-1 + 12z = 32 + z

Solving
-1 + 12z = 32 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-1 + 12z + -1z = 32 + z + -1z

Combine like terms: 12z + -1z = 11z
-1 + 11z = 32 + z + -1z

Combine like terms: z + -1z = 0
-1 + 11z = 32 + 0
-1 + 11z = 32

Add '1' to each side of the equation.
-1 + 1 + 11z = 32 + 1

Combine like terms: -1 + 1 = 0
0 + 11z = 32 + 1
11z = 32 + 1

Combine like terms: 32 + 1 = 33
11z = 33

Divide each side by '11'.
z = 3

Simplifying
z = 3

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