4(2k+5)+3k=108

Solution for 4(2k+5)+3k=108 equation:

Simplifying
4(2k + 5) + 3k = 108

Reorder the terms:
4(5 + 2k) + 3k = 108
(5 * 4 + 2k * 4) + 3k = 108
(20 + 8k) + 3k = 108

Combine like terms: 8k + 3k = 11k
20 + 11k = 108

Solving
20 + 11k = 108

Solving for variable 'k'.

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

Add '-20' to each side of the equation.
20 + -20 + 11k = 108 + -20

Combine like terms: 20 + -20 = 0
0 + 11k = 108 + -20
11k = 108 + -20

Combine like terms: 108 + -20 = 88
11k = 88

Divide each side by '11'.
k = 8

Simplifying
k = 8