2(k+3)=4(-k-2)

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Solution for 2(k+3)=4(-k-2) equation: 


Simplifying
2(k + 3) = 4(-1k + -2)

Reorder the terms:
2(3 + k) = 4(-1k + -2)
(3 * 2 + k * 2) = 4(-1k + -2)
(6 + 2k) = 4(-1k + -2)

Reorder the terms:
6 + 2k = 4(-2 + -1k)
6 + 2k = (-2 * 4 + -1k * 4)
6 + 2k = (-8 + -4k)

Solving
6 + 2k = -8 + -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.
6 + 2k + 4k = -8 + -4k + 4k

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

Combine like terms: -4k + 4k = 0
6 + 6k = -8 + 0
6 + 6k = -8

Add '-6' to each side of the equation.
6 + -6 + 6k = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 6k = -8 + -6
6k = -8 + -6

Combine like terms: -8 + -6 = -14
6k = -14

Divide each side by '6'.
k = -2.333333333

Simplifying
k = -2.333333333

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