12-(k+2)=6k-11

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Solution for 12-(k+2)=6k-11 equation: 


Simplifying
12 + -1(k + 2) = 6k + -11

Reorder the terms:
12 + -1(2 + k) = 6k + -11
12 + (2 * -1 + k * -1) = 6k + -11
12 + (-2 + -1k) = 6k + -11

Combine like terms: 12 + -2 = 10
10 + -1k = 6k + -11

Reorder the terms:
10 + -1k = -11 + 6k

Solving
10 + -1k = -11 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
10 + -1k + -6k = -11 + 6k + -6k

Combine like terms: -1k + -6k = -7k
10 + -7k = -11 + 6k + -6k

Combine like terms: 6k + -6k = 0
10 + -7k = -11 + 0
10 + -7k = -11

Add '-10' to each side of the equation.
10 + -10 + -7k = -11 + -10

Combine like terms: 10 + -10 = 0
0 + -7k = -11 + -10
-7k = -11 + -10

Combine like terms: -11 + -10 = -21
-7k = -21

Divide each side by '-7'.
k = 3

Simplifying
k = 3

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