-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 = 3.7
5k = 3.7

Divide each side by '5'.
k = 0.74

Simplifying
k = 0.74