6(K-9)-(5k+4)=-5

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Solution for 6(K-9)-(5k+4)=-5 equation:


Simplifying
6(K + -9) + -1(5k + 4) = -5

Reorder the terms:
6(-9 + K) + -1(5k + 4) = -5
(-9 * 6 + K * 6) + -1(5k + 4) = -5
(-54 + 6K) + -1(5k + 4) = -5

Reorder the terms:
-54 + 6K + -1(4 + 5k) = -5
-54 + 6K + (4 * -1 + 5k * -1) = -5
-54 + 6K + (-4 + -5k) = -5

Reorder the terms:
-54 + -4 + 6K + -5k = -5

Combine like terms: -54 + -4 = -58
-58 + 6K + -5k = -5

Solving
-58 + 6K + -5k = -5

Solving for variable 'K'.

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

Add '58' to each side of the equation.
-58 + 6K + 58 + -5k = -5 + 58

Reorder the terms:
-58 + 58 + 6K + -5k = -5 + 58

Combine like terms: -58 + 58 = 0
0 + 6K + -5k = -5 + 58
6K + -5k = -5 + 58

Combine like terms: -5 + 58 = 53
6K + -5k = 53

Add '5k' to each side of the equation.
6K + -5k + 5k = 53 + 5k

Combine like terms: -5k + 5k = 0
6K + 0 = 53 + 5k
6K = 53 + 5k

Divide each side by '6'.
K = 8.833333333 + 0.8333333333k

Simplifying
K = 8.833333333 + 0.8333333333k

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