1.6=7.6-5[k+1.1]

Solution for 1.6=7.6-5[k+1.1] equation:

Simplifying
1.6 = 7.6 + -5[k + 1.1]

Reorder the terms:
1.6 = 7.6 + -5[1.1 + k]
1.6 = 7.6 + [1.1 * -5 + k * -5]
1.6 = 7.6 + [-5.5 + -5k]

Combine like terms: 7.6 + -5.5 = 2.1
1.6 = 2.1 + -5k

Solving
1.6 = 2.1 + -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 = 2.1 + -5k + 5k

Combine like terms: -5k + 5k = 0
1.6 + 5k = 2.1 + 0
1.6 + 5k = 2.1

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 5k = 2.1 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 5k = 2.1 + -1.6
5k = 2.1 + -1.6

Combine like terms: 2.1 + -1.6 = 0.5
5k = 0.5

Divide each side by '5'.
k = 0.1

Simplifying
k = 0.1