(12+3+5k)6+4k+2(k+5)=

Solution for (12+3+5k)6+4k+2(k+5)= equation:

Simplifying
(12 + 3 + 5k) * 6 + 4k + 2(k + 5) = 0

Combine like terms: 12 + 3 = 15
(15 + 5k) * 6 + 4k + 2(k + 5) = 0

Reorder the terms for easier multiplication:
6(15 + 5k) + 4k + 2(k + 5) = 0
(15 * 6 + 5k * 6) + 4k + 2(k + 5) = 0
(90 + 30k) + 4k + 2(k + 5) = 0

Reorder the terms:
90 + 30k + 4k + 2(5 + k) = 0
90 + 30k + 4k + (5 * 2 + k * 2) = 0
90 + 30k + 4k + (10 + 2k) = 0

Reorder the terms:
90 + 10 + 30k + 4k + 2k = 0

Combine like terms: 90 + 10 = 100
100 + 30k + 4k + 2k = 0

Combine like terms: 30k + 4k = 34k
100 + 34k + 2k = 0

Combine like terms: 34k + 2k = 36k
100 + 36k = 0

Solving
100 + 36k = 0

Solving for variable 'k'.

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

Add '-100' to each side of the equation.
100 + -100 + 36k = 0 + -100

Combine like terms: 100 + -100 = 0
0 + 36k = 0 + -100
36k = 0 + -100

Combine like terms: 0 + -100 = -100
36k = -100

Divide each side by '36'.
k = -2.777777778

Simplifying
k = -2.777777778