z(a-6)+4=2a-6

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Solution for z(a-6)+4=2a-6 equation:


Simplifying
z(a + -6) + 4 = 2a + -6

Reorder the terms:
z(-6 + a) + 4 = 2a + -6
(-6 * z + a * z) + 4 = 2a + -6

Reorder the terms:
(az + -6z) + 4 = 2a + -6
(az + -6z) + 4 = 2a + -6

Reorder the terms:
4 + az + -6z = 2a + -6

Reorder the terms:
4 + az + -6z = -6 + 2a

Solving
4 + az + -6z = -6 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
4 + az + -2a + -6z = -6 + 2a + -2a

Reorder the terms:
4 + -2a + az + -6z = -6 + 2a + -2a

Combine like terms: 2a + -2a = 0
4 + -2a + az + -6z = -6 + 0
4 + -2a + az + -6z = -6

Add '-4' to each side of the equation.
4 + -2a + az + -4 + -6z = -6 + -4

Reorder the terms:
4 + -4 + -2a + az + -6z = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -2a + az + -6z = -6 + -4
-2a + az + -6z = -6 + -4

Combine like terms: -6 + -4 = -10
-2a + az + -6z = -10

Add '6z' to each side of the equation.
-2a + az + -6z + 6z = -10 + 6z

Combine like terms: -6z + 6z = 0
-2a + az + 0 = -10 + 6z
-2a + az = -10 + 6z

Reorder the terms:
10 + -2a + az + -6z = -10 + 6z + 10 + -6z

Reorder the terms:
10 + -2a + az + -6z = -10 + 10 + 6z + -6z

Combine like terms: -10 + 10 = 0
10 + -2a + az + -6z = 0 + 6z + -6z
10 + -2a + az + -6z = 6z + -6z

Combine like terms: 6z + -6z = 0
10 + -2a + az + -6z = 0

The solution to this equation could not be determined.

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