-(2k+4)-4(k+4)=4k-8k

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Solution for -(2k+4)-4(k+4)=4k-8k equation:


Simplifying
-1(2k + 4) + -4(k + 4) = 4k + -8k

Reorder the terms:
-1(4 + 2k) + -4(k + 4) = 4k + -8k
(4 * -1 + 2k * -1) + -4(k + 4) = 4k + -8k
(-4 + -2k) + -4(k + 4) = 4k + -8k

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

Reorder the terms:
-4 + -16 + -2k + -4k = 4k + -8k

Combine like terms: -4 + -16 = -20
-20 + -2k + -4k = 4k + -8k

Combine like terms: -2k + -4k = -6k
-20 + -6k = 4k + -8k

Combine like terms: 4k + -8k = -4k
-20 + -6k = -4k

Solving
-20 + -6k = -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
-20 + -6k + 4k = -4k + 4k

Combine like terms: -6k + 4k = -2k
-20 + -2k = -4k + 4k

Combine like terms: -4k + 4k = 0
-20 + -2k = 0

Add '20' to each side of the equation.
-20 + 20 + -2k = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -2k = 0 + 20
-2k = 0 + 20

Combine like terms: 0 + 20 = 20
-2k = 20

Divide each side by '-2'.
k = -10

Simplifying
k = -10

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