-7(K-9)=(K-5)-14K

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Solution for -7(K-9)=(K-5)-14K equation: 


Simplifying
-7(K + -9) = (K + -5) + -14K

Reorder the terms:
-7(-9 + K) = (K + -5) + -14K
(-9 * -7 + K * -7) = (K + -5) + -14K
(63 + -7K) = (K + -5) + -14K

Reorder the terms:
63 + -7K = (-5 + K) + -14K

Remove parenthesis around (-5 + K)
63 + -7K = -5 + K + -14K

Combine like terms: K + -14K = -13K
63 + -7K = -5 + -13K

Solving
63 + -7K = -5 + -13K

Solving for variable 'K'.

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

Add '13K' to each side of the equation.
63 + -7K + 13K = -5 + -13K + 13K

Combine like terms: -7K + 13K = 6K
63 + 6K = -5 + -13K + 13K

Combine like terms: -13K + 13K = 0
63 + 6K = -5 + 0
63 + 6K = -5

Add '-63' to each side of the equation.
63 + -63 + 6K = -5 + -63

Combine like terms: 63 + -63 = 0
0 + 6K = -5 + -63
6K = -5 + -63

Combine like terms: -5 + -63 = -68
6K = -68

Divide each side by '6'.
K = -11.33333333

Simplifying
K = -11.33333333

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