12-2k=5k-4(k-6)

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Solution for 12-2k=5k-4(k-6) equation:


Simplifying
12 + -2k = 5k + -4(k + -6)

Reorder the terms:
12 + -2k = 5k + -4(-6 + k)
12 + -2k = 5k + (-6 * -4 + k * -4)
12 + -2k = 5k + (24 + -4k)

Reorder the terms:
12 + -2k = 24 + 5k + -4k

Combine like terms: 5k + -4k = 1k
12 + -2k = 24 + 1k

Solving
12 + -2k = 24 + 1k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
12 + -2k + -1k = 24 + 1k + -1k

Combine like terms: -2k + -1k = -3k
12 + -3k = 24 + 1k + -1k

Combine like terms: 1k + -1k = 0
12 + -3k = 24 + 0
12 + -3k = 24

Add '-12' to each side of the equation.
12 + -12 + -3k = 24 + -12

Combine like terms: 12 + -12 = 0
0 + -3k = 24 + -12
-3k = 24 + -12

Combine like terms: 24 + -12 = 12
-3k = 12

Divide each side by '-3'.
k = -4

Simplifying
k = -4

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