-3k+7(k+6)=0

Solution for -3k+7(k+6)=0 equation:

Simplifying
-3k + 7(k + 6) = 0

Reorder the terms:
-3k + 7(6 + k) = 0
-3k + (6 * 7 + k * 7) = 0
-3k + (42 + 7k) = 0

Reorder the terms:
42 + -3k + 7k = 0

Combine like terms: -3k + 7k = 4k
42 + 4k = 0

Solving
42 + 4k = 0

Solving for variable 'k'.

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

Add '-42' to each side of the equation.
42 + -42 + 4k = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 4k = 0 + -42
4k = 0 + -42

Combine like terms: 0 + -42 = -42
4k = -42

Divide each side by '4'.
k = -10.5

Simplifying
k = -10.5