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

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


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

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

Combine like terms: 8 + 8 = 16
16 + -1k + -4k = k + 2k

Combine like terms: -1k + -4k = -5k
16 + -5k = k + 2k

Combine like terms: k + 2k = 3k
16 + -5k = 3k

Solving
16 + -5k = 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
16 + -5k + -3k = 3k + -3k

Combine like terms: -5k + -3k = -8k
16 + -8k = 3k + -3k

Combine like terms: 3k + -3k = 0
16 + -8k = 0

Add '-16' to each side of the equation.
16 + -16 + -8k = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -8k = 0 + -16
-8k = 0 + -16

Combine like terms: 0 + -16 = -16
-8k = -16

Divide each side by '-8'.
k = 2

Simplifying
k = 2

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