4K+7(4-2k)=-2(k-2)

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Solution for 4K+7(4-2k)=-2(k-2) equation: 


Simplifying
4K + 7(4 + -2k) = -2(k + -2)
4K + (4 * 7 + -2k * 7) = -2(k + -2)
4K + (28 + -14k) = -2(k + -2)

Reorder the terms:
28 + 4K + -14k = -2(k + -2)

Reorder the terms:
28 + 4K + -14k = -2(-2 + k)
28 + 4K + -14k = (-2 * -2 + k * -2)
28 + 4K + -14k = (4 + -2k)

Solving
28 + 4K + -14k = 4 + -2k

Solving for variable 'K'.

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

Add '-28' to each side of the equation.
28 + 4K + -28 + -14k = 4 + -28 + -2k

Reorder the terms:
28 + -28 + 4K + -14k = 4 + -28 + -2k

Combine like terms: 28 + -28 = 0
0 + 4K + -14k = 4 + -28 + -2k
4K + -14k = 4 + -28 + -2k

Combine like terms: 4 + -28 = -24
4K + -14k = -24 + -2k

Add '14k' to each side of the equation.
4K + -14k + 14k = -24 + -2k + 14k

Combine like terms: -14k + 14k = 0
4K + 0 = -24 + -2k + 14k
4K = -24 + -2k + 14k

Combine like terms: -2k + 14k = 12k
4K = -24 + 12k

Divide each side by '4'.
K = -6 + 3k

Simplifying
K = -6 + 3k

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