-8(k+5)+5(k+8)=1-6k+4K

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Solution for -8(k+5)+5(k+8)=1-6k+4K equation: 


Simplifying
-8(k + 5) + 5(k + 8) = 1 + -6k + 4K

Reorder the terms:
-8(5 + k) + 5(k + 8) = 1 + -6k + 4K
(5 * -8 + k * -8) + 5(k + 8) = 1 + -6k + 4K
(-40 + -8k) + 5(k + 8) = 1 + -6k + 4K

Reorder the terms:
-40 + -8k + 5(8 + k) = 1 + -6k + 4K
-40 + -8k + (8 * 5 + k * 5) = 1 + -6k + 4K
-40 + -8k + (40 + 5k) = 1 + -6k + 4K

Reorder the terms:
-40 + 40 + -8k + 5k = 1 + -6k + 4K

Combine like terms: -40 + 40 = 0
0 + -8k + 5k = 1 + -6k + 4K
-8k + 5k = 1 + -6k + 4K

Combine like terms: -8k + 5k = -3k
-3k = 1 + -6k + 4K

Reorder the terms:
-3k = 1 + 4K + -6k

Solving
-3k = 1 + 4K + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-3k + 6k = 1 + 4K + -6k + 6k

Combine like terms: -3k + 6k = 3k
3k = 1 + 4K + -6k + 6k

Combine like terms: -6k + 6k = 0
3k = 1 + 4K + 0
3k = 1 + 4K

Divide each side by '3'.
k = 0.3333333333 + 1.333333333K

Simplifying
k = 0.3333333333 + 1.333333333K

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