-6(k+1)=4(8-5k)-5k

Solution for -6(k+1)=4(8-5k)-5k equation:

Simplifying
-6(k + 1) = 4(8 + -5k) + -5k

Reorder the terms:
-6(1 + k) = 4(8 + -5k) + -5k
(1 * -6 + k * -6) = 4(8 + -5k) + -5k
(-6 + -6k) = 4(8 + -5k) + -5k
-6 + -6k = (8 * 4 + -5k * 4) + -5k
-6 + -6k = (32 + -20k) + -5k

Combine like terms: -20k + -5k = -25k
-6 + -6k = 32 + -25k

Solving
-6 + -6k = 32 + -25k

Solving for variable 'k'.

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

Add '25k' to each side of the equation.
-6 + -6k + 25k = 32 + -25k + 25k

Combine like terms: -6k + 25k = 19k
-6 + 19k = 32 + -25k + 25k

Combine like terms: -25k + 25k = 0
-6 + 19k = 32 + 0
-6 + 19k = 32

Add '6' to each side of the equation.
-6 + 6 + 19k = 32 + 6

Combine like terms: -6 + 6 = 0
0 + 19k = 32 + 6
19k = 32 + 6

Combine like terms: 32 + 6 = 38
19k = 38

Divide each side by '19'.
k = 2

Simplifying
k = 2