4(4K+2)-8(K-1)=3(2K+2)-2

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Solution for 4(4K+2)-8(K-1)=3(2K+2)-2 equation: 


Simplifying
4(4K + 2) + -8(K + -1) = 3(2K + 2) + -2

Reorder the terms:
4(2 + 4K) + -8(K + -1) = 3(2K + 2) + -2
(2 * 4 + 4K * 4) + -8(K + -1) = 3(2K + 2) + -2
(8 + 16K) + -8(K + -1) = 3(2K + 2) + -2

Reorder the terms:
8 + 16K + -8(-1 + K) = 3(2K + 2) + -2
8 + 16K + (-1 * -8 + K * -8) = 3(2K + 2) + -2
8 + 16K + (8 + -8K) = 3(2K + 2) + -2

Reorder the terms:
8 + 8 + 16K + -8K = 3(2K + 2) + -2

Combine like terms: 8 + 8 = 16
16 + 16K + -8K = 3(2K + 2) + -2

Combine like terms: 16K + -8K = 8K
16 + 8K = 3(2K + 2) + -2

Reorder the terms:
16 + 8K = 3(2 + 2K) + -2
16 + 8K = (2 * 3 + 2K * 3) + -2
16 + 8K = (6 + 6K) + -2

Reorder the terms:
16 + 8K = 6 + -2 + 6K

Combine like terms: 6 + -2 = 4
16 + 8K = 4 + 6K

Solving
16 + 8K = 4 + 6K

Solving for variable 'K'.

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

Add '-6K' to each side of the equation.
16 + 8K + -6K = 4 + 6K + -6K

Combine like terms: 8K + -6K = 2K
16 + 2K = 4 + 6K + -6K

Combine like terms: 6K + -6K = 0
16 + 2K = 4 + 0
16 + 2K = 4

Add '-16' to each side of the equation.
16 + -16 + 2K = 4 + -16

Combine like terms: 16 + -16 = 0
0 + 2K = 4 + -16
2K = 4 + -16

Combine like terms: 4 + -16 = -12
2K = -12

Divide each side by '2'.
K = -6

Simplifying
K = -6

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