-4K-4(k+5)=-4(2k-4)+4k

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Solution for -4K-4(k+5)=-4(2k-4)+4k equation:


Simplifying
-4K + -4(k + 5) = -4(2k + -4) + 4k

Reorder the terms:
-4K + -4(5 + k) = -4(2k + -4) + 4k
-4K + (5 * -4 + k * -4) = -4(2k + -4) + 4k
-4K + (-20 + -4k) = -4(2k + -4) + 4k

Reorder the terms:
-20 + -4K + -4k = -4(2k + -4) + 4k

Reorder the terms:
-20 + -4K + -4k = -4(-4 + 2k) + 4k
-20 + -4K + -4k = (-4 * -4 + 2k * -4) + 4k
-20 + -4K + -4k = (16 + -8k) + 4k

Combine like terms: -8k + 4k = -4k
-20 + -4K + -4k = 16 + -4k

Add '4k' to each side of the equation.
-20 + -4K + -4k + 4k = 16 + -4k + 4k

Combine like terms: -4k + 4k = 0
-20 + -4K + 0 = 16 + -4k + 4k
-20 + -4K = 16 + -4k + 4k

Combine like terms: -4k + 4k = 0
-20 + -4K = 16 + 0
-20 + -4K = 16

Solving
-20 + -4K = 16

Solving for variable 'K'.

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

Add '20' to each side of the equation.
-20 + 20 + -4K = 16 + 20

Combine like terms: -20 + 20 = 0
0 + -4K = 16 + 20
-4K = 16 + 20

Combine like terms: 16 + 20 = 36
-4K = 36

Divide each side by '-4'.
K = -9

Simplifying
K = -9

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