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

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


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

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

Reorder the terms:
2 + 6k = 8 + 2 + 2k

Combine like terms: 8 + 2 = 10
2 + 6k = 10 + 2k

Solving
2 + 6k = 10 + 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.
2 + 6k + -2k = 10 + 2k + -2k

Combine like terms: 6k + -2k = 4k
2 + 4k = 10 + 2k + -2k

Combine like terms: 2k + -2k = 0
2 + 4k = 10 + 0
2 + 4k = 10

Add '-2' to each side of the equation.
2 + -2 + 4k = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 4k = 10 + -2
4k = 10 + -2

Combine like terms: 10 + -2 = 8
4k = 8

Divide each side by '4'.
k = 2

Simplifying
k = 2

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