4(k-3)=2-(2k-6)

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Solution for 4(k-3)=2-(2k-6) equation:


Simplifying
4(k + -3) = 2 + -1(2k + -6)

Reorder the terms:
4(-3 + k) = 2 + -1(2k + -6)
(-3 * 4 + k * 4) = 2 + -1(2k + -6)
(-12 + 4k) = 2 + -1(2k + -6)

Reorder the terms:
-12 + 4k = 2 + -1(-6 + 2k)
-12 + 4k = 2 + (-6 * -1 + 2k * -1)
-12 + 4k = 2 + (6 + -2k)

Combine like terms: 2 + 6 = 8
-12 + 4k = 8 + -2k

Solving
-12 + 4k = 8 + -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.
-12 + 4k + 2k = 8 + -2k + 2k

Combine like terms: 4k + 2k = 6k
-12 + 6k = 8 + -2k + 2k

Combine like terms: -2k + 2k = 0
-12 + 6k = 8 + 0
-12 + 6k = 8

Add '12' to each side of the equation.
-12 + 12 + 6k = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 6k = 8 + 12
6k = 8 + 12

Combine like terms: 8 + 12 = 20
6k = 20

Divide each side by '6'.
k = 3.333333333

Simplifying
k = 3.333333333

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