6k-4(1-3K)=5(k+3)+13k

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Solution for 6k-4(1-3K)=5(k+3)+13k equation: 


Simplifying
6k + -4(1 + -3K) = 5(k + 3) + 13k
6k + (1 * -4 + -3K * -4) = 5(k + 3) + 13k
6k + (-4 + 12K) = 5(k + 3) + 13k

Reorder the terms:
-4 + 12K + 6k = 5(k + 3) + 13k

Reorder the terms:
-4 + 12K + 6k = 5(3 + k) + 13k
-4 + 12K + 6k = (3 * 5 + k * 5) + 13k
-4 + 12K + 6k = (15 + 5k) + 13k

Combine like terms: 5k + 13k = 18k
-4 + 12K + 6k = 15 + 18k

Solving
-4 + 12K + 6k = 15 + 18k

Solving for variable 'K'.

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

Add '4' to each side of the equation.
-4 + 12K + 4 + 6k = 15 + 4 + 18k

Reorder the terms:
-4 + 4 + 12K + 6k = 15 + 4 + 18k

Combine like terms: -4 + 4 = 0
0 + 12K + 6k = 15 + 4 + 18k
12K + 6k = 15 + 4 + 18k

Combine like terms: 15 + 4 = 19
12K + 6k = 19 + 18k

Add '-6k' to each side of the equation.
12K + 6k + -6k = 19 + 18k + -6k

Combine like terms: 6k + -6k = 0
12K + 0 = 19 + 18k + -6k
12K = 19 + 18k + -6k

Combine like terms: 18k + -6k = 12k
12K = 19 + 12k

Divide each side by '12'.
K = 1.583333333 + k

Simplifying
K = 1.583333333 + k

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