5k+2(6+3k)=100

Solution for 5k+2(6+3k)=100 equation:

Simplifying
5k + 2(6 + 3k) = 100
5k + (6 * 2 + 3k * 2) = 100
5k + (12 + 6k) = 100

Reorder the terms:
12 + 5k + 6k = 100

Combine like terms: 5k + 6k = 11k
12 + 11k = 100

Solving
12 + 11k = 100

Solving for variable 'k'.

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

Add '-12' to each side of the equation.
12 + -12 + 11k = 100 + -12

Combine like terms: 12 + -12 = 0
0 + 11k = 100 + -12
11k = 100 + -12

Combine like terms: 100 + -12 = 88
11k = 88

Divide each side by '11'.
k = 8

Simplifying
k = 8