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

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


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

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

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

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

Combine like terms: 4 + 16 = 20
20 + 16K + -8K = 3(2K + 3) + -1

Combine like terms: 16K + -8K = 8K
20 + 8K = 3(2K + 3) + -1

Reorder the terms:
20 + 8K = 3(3 + 2K) + -1
20 + 8K = (3 * 3 + 2K * 3) + -1
20 + 8K = (9 + 6K) + -1

Reorder the terms:
20 + 8K = 9 + -1 + 6K

Combine like terms: 9 + -1 = 8
20 + 8K = 8 + 6K

Solving
20 + 8K = 8 + 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.
20 + 8K + -6K = 8 + 6K + -6K

Combine like terms: 8K + -6K = 2K
20 + 2K = 8 + 6K + -6K

Combine like terms: 6K + -6K = 0
20 + 2K = 8 + 0
20 + 2K = 8

Add '-20' to each side of the equation.
20 + -20 + 2K = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 2K = 8 + -20
2K = 8 + -20

Combine like terms: 8 + -20 = -12
2K = -12

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

Simplifying
K = -6

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