111=5(2k+7)+6

Solution for 111=5(2k+7)+6 equation:

Simplifying
111 = 5(2k + 7) + 6

Reorder the terms:
111 = 5(7 + 2k) + 6
111 = (7 * 5 + 2k * 5) + 6
111 = (35 + 10k) + 6

Reorder the terms:
111 = 35 + 6 + 10k

Combine like terms: 35 + 6 = 41
111 = 41 + 10k

Solving
111 = 41 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
111 + -10k = 41 + 10k + -10k

Combine like terms: 10k + -10k = 0
111 + -10k = 41 + 0
111 + -10k = 41

Add '-111' to each side of the equation.
111 + -111 + -10k = 41 + -111

Combine like terms: 111 + -111 = 0
0 + -10k = 41 + -111
-10k = 41 + -111

Combine like terms: 41 + -111 = -70
-10k = -70

Divide each side by '-10'.
k = 7

Simplifying
k = 7