(11-k)+(16-k)=19

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Solution for (11-k)+(16-k)=19 equation:


Simplifying
(11 + -1k) + (16 + -1k) = 19

Remove parenthesis around (11 + -1k)
11 + -1k + (16 + -1k) = 19

Remove parenthesis around (16 + -1k)
11 + -1k + 16 + -1k = 19

Reorder the terms:
11 + 16 + -1k + -1k = 19

Combine like terms: 11 + 16 = 27
27 + -1k + -1k = 19

Combine like terms: -1k + -1k = -2k
27 + -2k = 19

Solving
27 + -2k = 19

Solving for variable 'k'.

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

Add '-27' to each side of the equation.
27 + -27 + -2k = 19 + -27

Combine like terms: 27 + -27 = 0
0 + -2k = 19 + -27
-2k = 19 + -27

Combine like terms: 19 + -27 = -8
-2k = -8

Divide each side by '-2'.
k = 4

Simplifying
k = 4

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