(5K-3)+(K+2)+(3K-11)=15

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Solution for (5K-3)+(K+2)+(3K-11)=15 equation:


Simplifying
(5K + -3) + (K + 2) + (3K + -11) = 15

Reorder the terms:
(-3 + 5K) + (K + 2) + (3K + -11) = 15

Remove parenthesis around (-3 + 5K)
-3 + 5K + (K + 2) + (3K + -11) = 15

Reorder the terms:
-3 + 5K + (2 + K) + (3K + -11) = 15

Remove parenthesis around (2 + K)
-3 + 5K + 2 + K + (3K + -11) = 15

Reorder the terms:
-3 + 5K + 2 + K + (-11 + 3K) = 15

Remove parenthesis around (-11 + 3K)
-3 + 5K + 2 + K + -11 + 3K = 15

Reorder the terms:
-3 + 2 + -11 + 5K + K + 3K = 15

Combine like terms: -3 + 2 = -1
-1 + -11 + 5K + K + 3K = 15

Combine like terms: -1 + -11 = -12
-12 + 5K + K + 3K = 15

Combine like terms: 5K + K = 6K
-12 + 6K + 3K = 15

Combine like terms: 6K + 3K = 9K
-12 + 9K = 15

Solving
-12 + 9K = 15

Solving for variable 'K'.

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

Add '12' to each side of the equation.
-12 + 12 + 9K = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 9K = 15 + 12
9K = 15 + 12

Combine like terms: 15 + 12 = 27
9K = 27

Divide each side by '9'.
K = 3

Simplifying
K = 3

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