-4k+10k-(5k-6)=-3k-39

Solution for -4k+10k-(5k-6)=-3k-39 equation:

Simplifying
-4k + 10k + -1(5k + -6) = -3k + -39

Reorder the terms:
-4k + 10k + -1(-6 + 5k) = -3k + -39
-4k + 10k + (-6 * -1 + 5k * -1) = -3k + -39
-4k + 10k + (6 + -5k) = -3k + -39

Reorder the terms:
6 + -4k + 10k + -5k = -3k + -39

Combine like terms: -4k + 10k = 6k
6 + 6k + -5k = -3k + -39

Combine like terms: 6k + -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 = -45
4k = -45

Divide each side by '4'.
k = -11.25

Simplifying
k = -11.25