7(k-7)=(11+k)

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Solution for 7(k-7)=(11+k) equation:


Simplifying
7(k + -7) = (11 + k)

Reorder the terms:
7(-7 + k) = (11 + k)
(-7 * 7 + k * 7) = (11 + k)
(-49 + 7k) = (11 + k)

Remove parenthesis around (11 + k)
-49 + 7k = 11 + k

Solving
-49 + 7k = 11 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-49 + 7k + -1k = 11 + k + -1k

Combine like terms: 7k + -1k = 6k
-49 + 6k = 11 + k + -1k

Combine like terms: k + -1k = 0
-49 + 6k = 11 + 0
-49 + 6k = 11

Add '49' to each side of the equation.
-49 + 49 + 6k = 11 + 49

Combine like terms: -49 + 49 = 0
0 + 6k = 11 + 49
6k = 11 + 49

Combine like terms: 11 + 49 = 60
6k = 60

Divide each side by '6'.
k = 10

Simplifying
k = 10

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