2(k+2)+6(k-2)=5k-2

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


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

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

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

Reorder the terms:
4 + -12 + 2k + 6k = 5k + -2

Combine like terms: 4 + -12 = -8
-8 + 2k + 6k = 5k + -2

Combine like terms: 2k + 6k = 8k
-8 + 8k = 5k + -2

Reorder the terms:
-8 + 8k = -2 + 5k

Solving
-8 + 8k = -2 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
-8 + 8k + -5k = -2 + 5k + -5k

Combine like terms: 8k + -5k = 3k
-8 + 3k = -2 + 5k + -5k

Combine like terms: 5k + -5k = 0
-8 + 3k = -2 + 0
-8 + 3k = -2

Add '8' to each side of the equation.
-8 + 8 + 3k = -2 + 8

Combine like terms: -8 + 8 = 0
0 + 3k = -2 + 8
3k = -2 + 8

Combine like terms: -2 + 8 = 6
3k = 6

Divide each side by '3'.
k = 2

Simplifying
k = 2

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