4(1+3K)-5(2K-5)=2k-8

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Solution for 4(1+3K)-5(2K-5)=2k-8 equation: 


Simplifying
4(1 + 3K) + -5(2K + -5) = 2k + -8
(1 * 4 + 3K * 4) + -5(2K + -5) = 2k + -8
(4 + 12K) + -5(2K + -5) = 2k + -8

Reorder the terms:
4 + 12K + -5(-5 + 2K) = 2k + -8
4 + 12K + (-5 * -5 + 2K * -5) = 2k + -8
4 + 12K + (25 + -10K) = 2k + -8

Reorder the terms:
4 + 25 + 12K + -10K = 2k + -8

Combine like terms: 4 + 25 = 29
29 + 12K + -10K = 2k + -8

Combine like terms: 12K + -10K = 2K
29 + 2K = 2k + -8

Reorder the terms:
29 + 2K = -8 + 2k

Solving
29 + 2K = -8 + 2k

Solving for variable 'K'.

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

Add '-29' to each side of the equation.
29 + -29 + 2K = -8 + -29 + 2k

Combine like terms: 29 + -29 = 0
0 + 2K = -8 + -29 + 2k
2K = -8 + -29 + 2k

Combine like terms: -8 + -29 = -37
2K = -37 + 2k

Divide each side by '2'.
K = -18.5 + k

Simplifying
K = -18.5 + k

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