5k-6(1-5k)=2k-39

Solution for 5k-6(1-5k)=2k-39 equation:

Simplifying
5k + -6(1 + -5k) = 2k + -39
5k + (1 * -6 + -5k * -6) = 2k + -39
5k + (-6 + 30k) = 2k + -39

Reorder the terms:
-6 + 5k + 30k = 2k + -39

Combine like terms: 5k + 30k = 35k
-6 + 35k = 2k + -39

Reorder the terms:
-6 + 35k = -39 + 2k

Solving
-6 + 35k = -39 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-6 + 35k + -2k = -39 + 2k + -2k

Combine like terms: 35k + -2k = 33k
-6 + 33k = -39 + 2k + -2k

Combine like terms: 2k + -2k = 0
-6 + 33k = -39 + 0
-6 + 33k = -39

Add '6' to each side of the equation.
-6 + 6 + 33k = -39 + 6

Combine like terms: -6 + 6 = 0
0 + 33k = -39 + 6
33k = -39 + 6

Combine like terms: -39 + 6 = -33
33k = -33

Divide each side by '33'.
k = -1

Simplifying
k = -1