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

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Solution for 6(-k-2)=-8(k+2) equation:


Simplifying
6(-1k + -2) = -8(k + 2)

Reorder the terms:
6(-2 + -1k) = -8(k + 2)
(-2 * 6 + -1k * 6) = -8(k + 2)
(-12 + -6k) = -8(k + 2)

Reorder the terms:
-12 + -6k = -8(2 + k)
-12 + -6k = (2 * -8 + k * -8)
-12 + -6k = (-16 + -8k)

Solving
-12 + -6k = -16 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
-12 + -6k + 8k = -16 + -8k + 8k

Combine like terms: -6k + 8k = 2k
-12 + 2k = -16 + -8k + 8k

Combine like terms: -8k + 8k = 0
-12 + 2k = -16 + 0
-12 + 2k = -16

Add '12' to each side of the equation.
-12 + 12 + 2k = -16 + 12

Combine like terms: -12 + 12 = 0
0 + 2k = -16 + 12
2k = -16 + 12

Combine like terms: -16 + 12 = -4
2k = -4

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

Simplifying
k = -2

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