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

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


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

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

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

Solving
-24 + 4k = 12 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
-24 + 4k + -6k = 12 + 6k + -6k

Combine like terms: 4k + -6k = -2k
-24 + -2k = 12 + 6k + -6k

Combine like terms: 6k + -6k = 0
-24 + -2k = 12 + 0
-24 + -2k = 12

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

Combine like terms: -24 + 24 = 0
0 + -2k = 12 + 24
-2k = 12 + 24

Combine like terms: 12 + 24 = 36
-2k = 36

Divide each side by '-2'.
k = -18

Simplifying
k = -18

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