-2(k-1)=2(k+1)-24

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Solution for -2(k-1)=2(k+1)-24 equation: 


Simplifying
-2(k + -1) = 2(k + 1) + -24

Reorder the terms:
-2(-1 + k) = 2(k + 1) + -24
(-1 * -2 + k * -2) = 2(k + 1) + -24
(2 + -2k) = 2(k + 1) + -24

Reorder the terms:
2 + -2k = 2(1 + k) + -24
2 + -2k = (1 * 2 + k * 2) + -24
2 + -2k = (2 + 2k) + -24

Reorder the terms:
2 + -2k = 2 + -24 + 2k

Combine like terms: 2 + -24 = -22
2 + -2k = -22 + 2k

Solving
2 + -2k = -22 + 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.
2 + -2k + -2k = -22 + 2k + -2k

Combine like terms: -2k + -2k = -4k
2 + -4k = -22 + 2k + -2k

Combine like terms: 2k + -2k = 0
2 + -4k = -22 + 0
2 + -4k = -22

Add '-2' to each side of the equation.
2 + -2 + -4k = -22 + -2

Combine like terms: 2 + -2 = 0
0 + -4k = -22 + -2
-4k = -22 + -2

Combine like terms: -22 + -2 = -24
-4k = -24

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

Simplifying
k = 6

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