4(2+6k)+8(3+3k)=

Solution for 4(2+6k)+8(3+3k)= equation:

Simplifying
4(2 + 6k) + 8(3 + 3k) = 0
(2 * 4 + 6k * 4) + 8(3 + 3k) = 0
(8 + 24k) + 8(3 + 3k) = 0
8 + 24k + (3 * 8 + 3k * 8) = 0
8 + 24k + (24 + 24k) = 0

Reorder the terms:
8 + 24 + 24k + 24k = 0

Combine like terms: 8 + 24 = 32
32 + 24k + 24k = 0

Combine like terms: 24k + 24k = 48k
32 + 48k = 0

Solving
32 + 48k = 0

Solving for variable 'k'.

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

Add '-32' to each side of the equation.
32 + -32 + 48k = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 48k = 0 + -32
48k = 0 + -32

Combine like terms: 0 + -32 = -32
48k = -32

Divide each side by '48'.
k = -0.6666666667

Simplifying
k = -0.6666666667