2(k-1.1)=-5.2(k-8)

Solution for 2(k-1.1)=-5.2(k-8) equation:

Simplifying
2(k + -1.1) = -5.2(k + -8)

Reorder the terms:
2(-1.1 + k) = -5.2(k + -8)
(-1.1 * 2 + k * 2) = -5.2(k + -8)
(-2.2 + 2k) = -5.2(k + -8)

Reorder the terms:
-2.2 + 2k = -5.2(-8 + k)
-2.2 + 2k = (-8 * -5.2 + k * -5.2)
-2.2 + 2k = (41.6 + -5.2k)

Solving
-2.2 + 2k = 41.6 + -5.2k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '5.2k' to each side of the equation.
-2.2 + 2k + 5.2k = 41.6 + -5.2k + 5.2k

Combine like terms: 2k + 5.2k = 7.2k
-2.2 + 7.2k = 41.6 + -5.2k + 5.2k

Combine like terms: -5.2k + 5.2k = 0.0
-2.2 + 7.2k = 41.6 + 0.0
-2.2 + 7.2k = 41.6

Add '2.2' to each side of the equation.
-2.2 + 2.2 + 7.2k = 41.6 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + 7.2k = 41.6 + 2.2
7.2k = 41.6 + 2.2

Combine like terms: 41.6 + 2.2 = 43.8
7.2k = 43.8

Divide each side by '7.2'.
k = 6.083333333

Simplifying
k = 6.083333333