2(k+3)+4(k+1)=

Solution for 2(k+3)+4(k+1)= equation:

Simplifying
2(k + 3) + 4(k + 1) = 0

Reorder the terms:
2(3 + k) + 4(k + 1) = 0
(3 * 2 + k * 2) + 4(k + 1) = 0
(6 + 2k) + 4(k + 1) = 0

Reorder the terms:
6 + 2k + 4(1 + k) = 0
6 + 2k + (1 * 4 + k * 4) = 0
6 + 2k + (4 + 4k) = 0

Reorder the terms:
6 + 4 + 2k + 4k = 0

Combine like terms: 6 + 4 = 10
10 + 2k + 4k = 0

Combine like terms: 2k + 4k = 6k
10 + 6k = 0

Solving
10 + 6k = 0

Solving for variable 'k'.

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

Add '-10' to each side of the equation.
10 + -10 + 6k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 6k = 0 + -10
6k = 0 + -10

Combine like terms: 0 + -10 = -10
6k = -10

Divide each side by '6'.
k = -1.666666667

Simplifying
k = -1.666666667