-6-7(k-6)=31-8k

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Solution for -6-7(k-6)=31-8k equation: 


Simplifying
-6 + -7(k + -6) = 31 + -8k

Reorder the terms:
-6 + -7(-6 + k) = 31 + -8k
-6 + (-6 * -7 + k * -7) = 31 + -8k
-6 + (42 + -7k) = 31 + -8k

Combine like terms: -6 + 42 = 36
36 + -7k = 31 + -8k

Solving
36 + -7k = 31 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
36 + -7k + 8k = 31 + -8k + 8k

Combine like terms: -7k + 8k = 1k
36 + 1k = 31 + -8k + 8k

Combine like terms: -8k + 8k = 0
36 + 1k = 31 + 0
36 + 1k = 31

Add '-36' to each side of the equation.
36 + -36 + 1k = 31 + -36

Combine like terms: 36 + -36 = 0
0 + 1k = 31 + -36
1k = 31 + -36

Combine like terms: 31 + -36 = -5
1k = -5

Divide each side by '1'.
k = -5

Simplifying
k = -5

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