1.6=7.65-5(k+1.1)

Solution for 1.6=7.65-5(k+1.1) equation:

Simplifying
1.6 = 7.65 + -5(k + 1.1)

Reorder the terms:
1.6 = 7.65 + -5(1.1 + k)
1.6 = 7.65 + (1.1 * -5 + k * -5)
1.6 = 7.65 + (-5.5 + -5k)

Combine like terms: 7.65 + -5.5 = 2.15
1.6 = 2.15 + -5k

Solving
1.6 = 2.15 + -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 = 2.15 + -5k + 5k

Combine like terms: -5k + 5k = 0
1.6 + 5k = 2.15 + 0
1.6 + 5k = 2.15

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 5k = 2.15 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 5k = 2.15 + -1.6
5k = 2.15 + -1.6

Combine like terms: 2.15 + -1.6 = 0.55
5k = 0.55

Divide each side by '5'.
k = 0.11

Simplifying
k = 0.11