-4k+(5k-6)=-3k-39

Solution for -4k+(5k-6)=-3k-39 equation:

Simplifying
-4k + (5k + -6) = -3k + -39

Reorder the terms:
-4k + (-6 + 5k) = -3k + -39

Remove parenthesis around (-6 + 5k)
-4k + -6 + 5k = -3k + -39

Reorder the terms:
-6 + -4k + 5k = -3k + -39

Combine like terms: -4k + 5k = 1k
-6 + 1k = -3k + -39

Reorder the terms:
-6 + 1k = -39 + -3k

Solving
-6 + 1k = -39 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-6 + 1k + 3k = -39 + -3k + 3k

Combine like terms: 1k + 3k = 4k
-6 + 4k = -39 + -3k + 3k

Combine like terms: -3k + 3k = 0
-6 + 4k = -39 + 0
-6 + 4k = -39

Add '6' to each side of the equation.
-6 + 6 + 4k = -39 + 6

Combine like terms: -6 + 6 = 0
0 + 4k = -39 + 6
4k = -39 + 6

Combine like terms: -39 + 6 = -33
4k = -33

Divide each side by '4'.
k = -8.25

Simplifying
k = -8.25