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

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

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

Reorder the terms:
0 = 4(6 + 2k) + 8(3 + 3k)
0 = (6 * 4 + 2k * 4) + 8(3 + 3k)
0 = (24 + 8k) + 8(3 + 3k)
0 = 24 + 8k + (3 * 8 + 3k * 8)
0 = 24 + 8k + (24 + 24k)

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

Combine like terms: 24 + 24 = 48
0 = 48 + 8k + 24k

Combine like terms: 8k + 24k = 32k
0 = 48 + 32k

Solving
0 = 48 + 32k

Solving for variable 'k'.

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

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

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

Divide each side by '-32'.
k = -1.5

Simplifying
k = -1.5