11(k-1)=1(k-9)

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Solution for 11(k-1)=1(k-9) equation: 


Simplifying
11(k + -1) = 1(k + -9)

Reorder the terms:
11(-1 + k) = 1(k + -9)
(-1 * 11 + k * 11) = 1(k + -9)
(-11 + 11k) = 1(k + -9)

Reorder the terms:
-11 + 11k = 1(-9 + k)
-11 + 11k = (-9 * 1 + k * 1)
-11 + 11k = (-9 + 1k)

Solving
-11 + 11k = -9 + 1k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-11 + 11k + -1k = -9 + 1k + -1k

Combine like terms: 11k + -1k = 10k
-11 + 10k = -9 + 1k + -1k

Combine like terms: 1k + -1k = 0
-11 + 10k = -9 + 0
-11 + 10k = -9

Add '11' to each side of the equation.
-11 + 11 + 10k = -9 + 11

Combine like terms: -11 + 11 = 0
0 + 10k = -9 + 11
10k = -9 + 11

Combine like terms: -9 + 11 = 2
10k = 2

Divide each side by '10'.
k = 0.2

Simplifying
k = 0.2

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