2(8k+3)+3k=101

Solution for 2(8k+3)+3k=101 equation:

Simplifying
2(8k + 3) + 3k = 101

Reorder the terms:
2(3 + 8k) + 3k = 101
(3 * 2 + 8k * 2) + 3k = 101
(6 + 16k) + 3k = 101

Combine like terms: 16k + 3k = 19k
6 + 19k = 101

Solving
6 + 19k = 101

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + 19k = 101 + -6

Combine like terms: 6 + -6 = 0
0 + 19k = 101 + -6
19k = 101 + -6

Combine like terms: 101 + -6 = 95
19k = 95

Divide each side by '19'.
k = 5

Simplifying
k = 5