13-z(a-1)=9+a

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Solution for 13-z(a-1)=9+a equation:


Simplifying
13 + -1z(a + -1) = 9 + a

Reorder the terms:
13 + -1z(-1 + a) = 9 + a
13 + (-1 * -1z + a * -1z) = 9 + a

Reorder the terms:
13 + (-1az + 1z) = 9 + a
13 + (-1az + 1z) = 9 + a

Solving
13 + -1az + 1z = 9 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
13 + -1az + -1a + 1z = 9 + a + -1a

Reorder the terms:
13 + -1a + -1az + 1z = 9 + a + -1a

Combine like terms: a + -1a = 0
13 + -1a + -1az + 1z = 9 + 0
13 + -1a + -1az + 1z = 9

Add '-13' to each side of the equation.
13 + -1a + -1az + -13 + 1z = 9 + -13

Reorder the terms:
13 + -13 + -1a + -1az + 1z = 9 + -13

Combine like terms: 13 + -13 = 0
0 + -1a + -1az + 1z = 9 + -13
-1a + -1az + 1z = 9 + -13

Combine like terms: 9 + -13 = -4
-1a + -1az + 1z = -4

Add '-1z' to each side of the equation.
-1a + -1az + 1z + -1z = -4 + -1z

Combine like terms: 1z + -1z = 0
-1a + -1az + 0 = -4 + -1z
-1a + -1az = -4 + -1z

Reorder the terms:
4 + -1a + -1az + z = -4 + -1z + 4 + z

Reorder the terms:
4 + -1a + -1az + z = -4 + 4 + -1z + z

Combine like terms: -4 + 4 = 0
4 + -1a + -1az + z = 0 + -1z + z
4 + -1a + -1az + z = -1z + z

Combine like terms: -1z + z = 0
4 + -1a + -1az + z = 0

The solution to this equation could not be determined.

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