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

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


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

Reorder the terms:
4(-6 + 2k) = 6(2k + 2)
(-6 * 4 + 2k * 4) = 6(2k + 2)
(-24 + 8k) = 6(2k + 2)

Reorder the terms:
-24 + 8k = 6(2 + 2k)
-24 + 8k = (2 * 6 + 2k * 6)
-24 + 8k = (12 + 12k)

Solving
-24 + 8k = 12 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
-24 + 8k + -12k = 12 + 12k + -12k

Combine like terms: 8k + -12k = -4k
-24 + -4k = 12 + 12k + -12k

Combine like terms: 12k + -12k = 0
-24 + -4k = 12 + 0
-24 + -4k = 12

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

Combine like terms: -24 + 24 = 0
0 + -4k = 12 + 24
-4k = 12 + 24

Combine like terms: 12 + 24 = 36
-4k = 36

Divide each side by '-4'.
k = -9

Simplifying
k = -9

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