k+3(2k+5)=-20

Solution for k+3(2k+5)=-20 equation:

Simplifying
k + 3(2k + 5) = -20

Reorder the terms:
k + 3(5 + 2k) = -20
k + (5 * 3 + 2k * 3) = -20
k + (15 + 6k) = -20

Reorder the terms:
15 + k + 6k = -20

Combine like terms: k + 6k = 7k
15 + 7k = -20

Solving
15 + 7k = -20

Solving for variable 'k'.

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

Add '-15' to each side of the equation.
15 + -15 + 7k = -20 + -15

Combine like terms: 15 + -15 = 0
0 + 7k = -20 + -15
7k = -20 + -15

Combine like terms: -20 + -15 = -35
7k = -35

Divide each side by '7'.
k = -5

Simplifying
k = -5