ab*8+z=16a+z

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Solution for ab*8+z=16a+z equation: 


Simplifying
ab * 8 + z = 16a + z

Reorder the terms for easier multiplication:
8ab + z = 16a + z

Add '-1z' to each side of the equation.
8ab + z + -1z = 16a + z + -1z

Combine like terms: z + -1z = 0
8ab + 0 = 16a + z + -1z
8ab = 16a + z + -1z

Combine like terms: z + -1z = 0
8ab = 16a + 0
8ab = 16a

Solving
8ab = 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
-16a + 8ab = 16a + -16a

Combine like terms: 16a + -16a = 0
-16a + 8ab = 0

Factor out the Greatest Common Factor (GCF), '8a'.
8a(-2 + b) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-2 + b)' equal to zero and attempt to solve:

Simplifying
-2 + b = 0

Solving
-2 + b = 0

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

Add '2' to each side of the equation.
-2 + 2 + b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + b = 0 + 2
b = 0 + 2

Combine like terms: 0 + 2 = 2
b = 2

Add '-1b' to each side of the equation.
b + -1b = 2 + -1b

Combine like terms: b + -1b = 0
0 = 2 + -1b

Simplifying
0 = 2 + -1b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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