22=-2k+11+4(6+k)

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Solution for 22=-2k+11+4(6+k) equation: 


Simplifying
22 = -2k + 11 + 4(6 + k)
22 = -2k + 11 + (6 * 4 + k * 4)
22 = -2k + 11 + (24 + 4k)

Reorder the terms:
22 = 11 + 24 + -2k + 4k

Combine like terms: 11 + 24 = 35
22 = 35 + -2k + 4k

Combine like terms: -2k + 4k = 2k
22 = 35 + 2k

Solving
22 = 35 + 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.
22 + -2k = 35 + 2k + -2k

Combine like terms: 2k + -2k = 0
22 + -2k = 35 + 0
22 + -2k = 35

Add '-22' to each side of the equation.
22 + -22 + -2k = 35 + -22

Combine like terms: 22 + -22 = 0
0 + -2k = 35 + -22
-2k = 35 + -22

Combine like terms: 35 + -22 = 13
-2k = 13

Divide each side by '-2'.
k = -6.5

Simplifying
k = -6.5

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