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

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


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

Reorder the terms:
-12 + 12k = 4(12 + k) + -4k
-12 + 12k = (12 * 4 + k * 4) + -4k
-12 + 12k = (48 + 4k) + -4k

Combine like terms: 4k + -4k = 0
-12 + 12k = 48 + 0
-12 + 12k = 48

Solving
-12 + 12k = 48

Solving for variable 'k'.

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

Add '12' to each side of the equation.
-12 + 12 + 12k = 48 + 12

Combine like terms: -12 + 12 = 0
0 + 12k = 48 + 12
12k = 48 + 12

Combine like terms: 48 + 12 = 60
12k = 60

Divide each side by '12'.
k = 5

Simplifying
k = 5

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