-2(k-8)=40+2k

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Solution for -2(k-8)=40+2k equation: 


Simplifying
-2(k + -8) = 40 + 2k

Reorder the terms:
-2(-8 + k) = 40 + 2k
(-8 * -2 + k * -2) = 40 + 2k
(16 + -2k) = 40 + 2k

Solving
16 + -2k = 40 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
16 + -2k + -2k = 40 + 2k + -2k

Combine like terms: -2k + -2k = -4k
16 + -4k = 40 + 2k + -2k

Combine like terms: 2k + -2k = 0
16 + -4k = 40 + 0
16 + -4k = 40

Add '-16' to each side of the equation.
16 + -16 + -4k = 40 + -16

Combine like terms: 16 + -16 = 0
0 + -4k = 40 + -16
-4k = 40 + -16

Combine like terms: 40 + -16 = 24
-4k = 24

Divide each side by '-4'.
k = -6

Simplifying
k = -6

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