5(4K-7)-k=6-(5k+9)

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Solution for 5(4K-7)-k=6-(5k+9) equation:


Simplifying
5(4K + -7) + -1k = 6 + -1(5k + 9)

Reorder the terms:
5(-7 + 4K) + -1k = 6 + -1(5k + 9)
(-7 * 5 + 4K * 5) + -1k = 6 + -1(5k + 9)
(-35 + 20K) + -1k = 6 + -1(5k + 9)

Reorder the terms:
-35 + 20K + -1k = 6 + -1(9 + 5k)
-35 + 20K + -1k = 6 + (9 * -1 + 5k * -1)
-35 + 20K + -1k = 6 + (-9 + -5k)

Combine like terms: 6 + -9 = -3
-35 + 20K + -1k = -3 + -5k

Solving
-35 + 20K + -1k = -3 + -5k

Solving for variable 'K'.

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

Add '35' to each side of the equation.
-35 + 20K + 35 + -1k = -3 + 35 + -5k

Reorder the terms:
-35 + 35 + 20K + -1k = -3 + 35 + -5k

Combine like terms: -35 + 35 = 0
0 + 20K + -1k = -3 + 35 + -5k
20K + -1k = -3 + 35 + -5k

Combine like terms: -3 + 35 = 32
20K + -1k = 32 + -5k

Add 'k' to each side of the equation.
20K + -1k + k = 32 + -5k + k

Combine like terms: -1k + k = 0
20K + 0 = 32 + -5k + k
20K = 32 + -5k + k

Combine like terms: -5k + k = -4k
20K = 32 + -4k

Divide each side by '20'.
K = 1.6 + -0.2k

Simplifying
K = 1.6 + -0.2k

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