1.6=7.6-5(1k+1.1)

Solution for 1.6=7.6-5(1k+1.1) equation:

Simplifying
1.6 = 7.6 + -5(1k + 1.1)

Reorder the terms:
1.6 = 7.6 + -5(1.1 + 1k)
1.6 = 7.6 + (1.1 * -5 + 1k * -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