6(k+2)+2(2k-5)=22

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Solution for 6(k+2)+2(2k-5)=22 equation: 


Simplifying
6(k + 2) + 2(2k + -5) = 22

Reorder the terms:
6(2 + k) + 2(2k + -5) = 22
(2 * 6 + k * 6) + 2(2k + -5) = 22
(12 + 6k) + 2(2k + -5) = 22

Reorder the terms:
12 + 6k + 2(-5 + 2k) = 22
12 + 6k + (-5 * 2 + 2k * 2) = 22
12 + 6k + (-10 + 4k) = 22

Reorder the terms:
12 + -10 + 6k + 4k = 22

Combine like terms: 12 + -10 = 2
2 + 6k + 4k = 22

Combine like terms: 6k + 4k = 10k
2 + 10k = 22

Solving
2 + 10k = 22

Solving for variable 'k'.

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

Add '-2' to each side of the equation.
2 + -2 + 10k = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 10k = 22 + -2
10k = 22 + -2

Combine like terms: 22 + -2 = 20
10k = 20

Divide each side by '10'.
k = 2

Simplifying
k = 2

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