6(-3k-1)=k-82

Solution for 6(-3k-1)=k-82 equation:

Simplifying
6(-3k + -1) = k + -82

Reorder the terms:
6(-1 + -3k) = k + -82
(-1 * 6 + -3k * 6) = k + -82
(-6 + -18k) = k + -82

Reorder the terms:
-6 + -18k = -82 + k

Solving
-6 + -18k = -82 + 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.
-6 + -18k + -1k = -82 + k + -1k

Combine like terms: -18k + -1k = -19k
-6 + -19k = -82 + k + -1k

Combine like terms: k + -1k = 0
-6 + -19k = -82 + 0
-6 + -19k = -82

Add '6' to each side of the equation.
-6 + 6 + -19k = -82 + 6

Combine like terms: -6 + 6 = 0
0 + -19k = -82 + 6
-19k = -82 + 6

Combine like terms: -82 + 6 = -76
-19k = -76

Divide each side by '-19'.
k = 4

Simplifying
k = 4