1.6=7.6-5(k+1)

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

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

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

Combine like terms: 7.6 + -5 = 2.6
1.6 = 2.6 + -5k

Solving
1.6 = 2.6 + -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 = 2.6 + -5k + 5k

Combine like terms: -5k + 5k = 0
1.6 + 5k = 2.6 + 0
1.6 + 5k = 2.6

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 5k = 2.6 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 5k = 2.6 + -1.6
5k = 2.6 + -1.6

Combine like terms: 2.6 + -1.6 = 1
5k = 1

Divide each side by '5'.
k = 0.2

Simplifying
k = 0.2