K-7k=3(-6k-8)+5(-3k-6)

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Solution for K-7k=3(-6k-8)+5(-3k-6) equation: 


Simplifying
K + -7k = 3(-6k + -8) + 5(-3k + -6)

Reorder the terms:
K + -7k = 3(-8 + -6k) + 5(-3k + -6)
K + -7k = (-8 * 3 + -6k * 3) + 5(-3k + -6)
K + -7k = (-24 + -18k) + 5(-3k + -6)

Reorder the terms:
K + -7k = -24 + -18k + 5(-6 + -3k)
K + -7k = -24 + -18k + (-6 * 5 + -3k * 5)
K + -7k = -24 + -18k + (-30 + -15k)

Reorder the terms:
K + -7k = -24 + -30 + -18k + -15k

Combine like terms: -24 + -30 = -54
K + -7k = -54 + -18k + -15k

Combine like terms: -18k + -15k = -33k
K + -7k = -54 + -33k

Solving
K + -7k = -54 + -33k

Solving for variable 'K'.

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

Add '7k' to each side of the equation.
K + -7k + 7k = -54 + -33k + 7k

Combine like terms: -7k + 7k = 0
K + 0 = -54 + -33k + 7k
K = -54 + -33k + 7k

Combine like terms: -33k + 7k = -26k
K = -54 + -26k

Simplifying
K = -54 + -26k

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