12(k+1)+5(k+6)=

Solution for 12(k+1)+5(k+6)= equation:

Simplifying
12(k + 1) + 5(k + 6) = 0

Reorder the terms:
12(1 + k) + 5(k + 6) = 0
(1 * 12 + k * 12) + 5(k + 6) = 0
(12 + 12k) + 5(k + 6) = 0

Reorder the terms:
12 + 12k + 5(6 + k) = 0
12 + 12k + (6 * 5 + k * 5) = 0
12 + 12k + (30 + 5k) = 0

Reorder the terms:
12 + 30 + 12k + 5k = 0

Combine like terms: 12 + 30 = 42
42 + 12k + 5k = 0

Combine like terms: 12k + 5k = 17k
42 + 17k = 0

Solving
42 + 17k = 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 + 17k = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 17k = 0 + -42
17k = 0 + -42

Combine like terms: 0 + -42 = -42
17k = -42

Divide each side by '17'.
k = -2.470588235

Simplifying
k = -2.470588235