11(k-1)=7(k-6.33333333)

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Solution for 11(k-1)=7(k-6.33333333) equation: 


Simplifying
11(k + -1) = 7(k + -6.33333333)

Reorder the terms:
11(-1 + k) = 7(k + -6.33333333)
(-1 * 11 + k * 11) = 7(k + -6.33333333)
(-11 + 11k) = 7(k + -6.33333333)

Reorder the terms:
-11 + 11k = 7(-6.33333333 + k)
-11 + 11k = (-6.33333333 * 7 + k * 7)
-11 + 11k = (-44.33333331 + 7k)

Solving
-11 + 11k = -44.33333331 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
-11 + 11k + -7k = -44.33333331 + 7k + -7k

Combine like terms: 11k + -7k = 4k
-11 + 4k = -44.33333331 + 7k + -7k

Combine like terms: 7k + -7k = 0
-11 + 4k = -44.33333331 + 0
-11 + 4k = -44.33333331

Add '11' to each side of the equation.
-11 + 11 + 4k = -44.33333331 + 11

Combine like terms: -11 + 11 = 0
0 + 4k = -44.33333331 + 11
4k = -44.33333331 + 11

Combine like terms: -44.33333331 + 11 = -33.33333331
4k = -33.33333331

Divide each side by '4'.
k = -8.333333328

Simplifying
k = -8.333333328

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