1.6=7.6-5(k+111)

Solution for 1.6=7.6-5(k+111) equation:

Simplifying
1.6 = 7.6 + -5(k + 111)

Reorder the terms:
1.6 = 7.6 + -5(111 + k)
1.6 = 7.6 + (111 * -5 + k * -5)
1.6 = 7.6 + (-555 + -5k)

Combine like terms: 7.6 + -555 = -547.4
1.6 = -547.4 + -5k

Solving
1.6 = -547.4 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
1.6 + 5k = -547.4 + -5k + 5k

Combine like terms: -5k + 5k = 0
1.6 + 5k = -547.4 + 0
1.6 + 5k = -547.4

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 5k = -547.4 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 5k = -547.4 + -1.6
5k = -547.4 + -1.6

Combine like terms: -547.4 + -1.6 = -549
5k = -549

Divide each side by '5'.
k = -109.8

Simplifying
k = -109.8