9(2K+3)+2=11(K-k)

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Solution for 9(2K+3)+2=11(K-k) equation: 


Simplifying
9(2K + 3) + 2 = 11(K + -1k)

Reorder the terms:
9(3 + 2K) + 2 = 11(K + -1k)
(3 * 9 + 2K * 9) + 2 = 11(K + -1k)
(27 + 18K) + 2 = 11(K + -1k)

Reorder the terms:
27 + 2 + 18K = 11(K + -1k)

Combine like terms: 27 + 2 = 29
29 + 18K = 11(K + -1k)
29 + 18K = (K * 11 + -1k * 11)
29 + 18K = (11K + -11k)

Solving
29 + 18K = 11K + -11k

Solving for variable 'K'.

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

Add '-11K' to each side of the equation.
29 + 18K + -11K = 11K + -11K + -11k

Combine like terms: 18K + -11K = 7K
29 + 7K = 11K + -11K + -11k

Combine like terms: 11K + -11K = 0
29 + 7K = 0 + -11k
29 + 7K = -11k

Add '-29' to each side of the equation.
29 + -29 + 7K = -29 + -11k

Combine like terms: 29 + -29 = 0
0 + 7K = -29 + -11k
7K = -29 + -11k

Divide each side by '7'.
K = -4.142857143 + -1.571428571k

Simplifying
K = -4.142857143 + -1.571428571k

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