11(k-1)=7(k-9.53)

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Solution for 11(k-1)=7(k-9.53) equation: 


Simplifying
11(k + -1) = 7(k + -9.53)

Reorder the terms:
11(-1 + k) = 7(k + -9.53)
(-1 * 11 + k * 11) = 7(k + -9.53)
(-11 + 11k) = 7(k + -9.53)

Reorder the terms:
-11 + 11k = 7(-9.53 + k)
-11 + 11k = (-9.53 * 7 + k * 7)
-11 + 11k = (-66.71 + 7k)

Solving
-11 + 11k = -66.71 + 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 = -66.71 + 7k + -7k

Combine like terms: 11k + -7k = 4k
-11 + 4k = -66.71 + 7k + -7k

Combine like terms: 7k + -7k = 0
-11 + 4k = -66.71 + 0
-11 + 4k = -66.71

Add '11' to each side of the equation.
-11 + 11 + 4k = -66.71 + 11

Combine like terms: -11 + 11 = 0
0 + 4k = -66.71 + 11
4k = -66.71 + 11

Combine like terms: -66.71 + 11 = -55.71
4k = -55.71

Divide each side by '4'.
k = -13.9275

Simplifying
k = -13.9275

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