k(a-8)=I(a-8)+1I

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Solution for k(a-8)=I(a-8)+1I equation:


Simplifying
k(a + -8) = I(a + -8) + 1I

Reorder the terms:
k(-8 + a) = I(a + -8) + 1I
(-8 * k + a * k) = I(a + -8) + 1I

Reorder the terms:
(ak + -8k) = I(a + -8) + 1I
(ak + -8k) = I(a + -8) + 1I

Reorder the terms:
ak + -8k = I(-8 + a) + 1I
ak + -8k = (-8 * I + a * I) + 1I
ak + -8k = (-8I + aI) + 1I

Reorder the terms:
ak + -8k = -8I + 1I + aI

Combine like terms: -8I + 1I = -7I
ak + -8k = -7I + aI

Solving
ak + -8k = -7I + aI

Solving for variable 'a'.

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

Add '-1aI' to each side of the equation.
ak + -1aI + -8k = -7I + aI + -1aI

Reorder the terms:
-1aI + ak + -8k = -7I + aI + -1aI

Combine like terms: aI + -1aI = 0
-1aI + ak + -8k = -7I + 0
-1aI + ak + -8k = -7I

Add '8k' to each side of the equation.
-1aI + ak + -8k + 8k = -7I + 8k

Combine like terms: -8k + 8k = 0
-1aI + ak + 0 = -7I + 8k
-1aI + ak = -7I + 8k

Reorder the terms:
7I + -1aI + ak + -8k = -7I + 8k + 7I + -8k

Reorder the terms:
7I + -1aI + ak + -8k = -7I + 7I + 8k + -8k

Combine like terms: -7I + 7I = 0
7I + -1aI + ak + -8k = 0 + 8k + -8k
7I + -1aI + ak + -8k = 8k + -8k

Combine like terms: 8k + -8k = 0
7I + -1aI + ak + -8k = 0

The solution to this equation could not be determined.

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