49=-5(1-4K)-3(k-1)

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Solution for 49=-5(1-4K)-3(k-1) equation: 


Simplifying
49 = -5(1 + -4K) + -3(k + -1)
49 = (1 * -5 + -4K * -5) + -3(k + -1)
49 = (-5 + 20K) + -3(k + -1)

Reorder the terms:
49 = -5 + 20K + -3(-1 + k)
49 = -5 + 20K + (-1 * -3 + k * -3)
49 = -5 + 20K + (3 + -3k)

Reorder the terms:
49 = -5 + 3 + 20K + -3k

Combine like terms: -5 + 3 = -2
49 = -2 + 20K + -3k

Solving
49 = -2 + 20K + -3k

Solving for variable 'K'.

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

Add '-20K' to each side of the equation.
49 + -20K = -2 + 20K + -20K + -3k

Combine like terms: 20K + -20K = 0
49 + -20K = -2 + 0 + -3k
49 + -20K = -2 + -3k

Add '-49' to each side of the equation.
49 + -49 + -20K = -2 + -49 + -3k

Combine like terms: 49 + -49 = 0
0 + -20K = -2 + -49 + -3k
-20K = -2 + -49 + -3k

Combine like terms: -2 + -49 = -51
-20K = -51 + -3k

Divide each side by '-20'.
K = 2.55 + 0.15k

Simplifying
K = 2.55 + 0.15k

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