38-8K=1-5(5+8K)

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Solution for 38-8K=1-5(5+8K) equation: 


Simplifying
38 + -8K = 1 + -5(5 + 8K)
38 + -8K = 1 + (5 * -5 + 8K * -5)
38 + -8K = 1 + (-25 + -40K)

Combine like terms: 1 + -25 = -24
38 + -8K = -24 + -40K

Solving
38 + -8K = -24 + -40K

Solving for variable 'K'.

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

Add '40K' to each side of the equation.
38 + -8K + 40K = -24 + -40K + 40K

Combine like terms: -8K + 40K = 32K
38 + 32K = -24 + -40K + 40K

Combine like terms: -40K + 40K = 0
38 + 32K = -24 + 0
38 + 32K = -24

Add '-38' to each side of the equation.
38 + -38 + 32K = -24 + -38

Combine like terms: 38 + -38 = 0
0 + 32K = -24 + -38
32K = -24 + -38

Combine like terms: -24 + -38 = -62
32K = -62

Divide each side by '32'.
K = -1.9375

Simplifying
K = -1.9375

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