6+(-3k)-24+13k-(-1)=0

Solution for 6+(-3k)-24+13k-(-1)=0 equation:

Simplifying
6 + (-3k) + -24 + 13k + -1(-1) = 0

Multiply -1 * -1
6 + (-3k) + -24 + 13k + 1 = 0

Reorder the terms:
6 + -24 + 1 + (-3k) + 13k = 0

Combine like terms: 6 + -24 = -18
-18 + 1 + (-3k) + 13k = 0

Combine like terms: -18 + 1 = -17
-17 + (-3k) + 13k = 0

Combine like terms: (-3k) + 13k = 10k
-17 + 10k = 0

Solving
-17 + 10k = 0

Solving for variable 'k'.

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

Add '17' to each side of the equation.
-17 + 17 + 10k = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 10k = 0 + 17
10k = 0 + 17

Combine like terms: 0 + 17 = 17
10k = 17

Divide each side by '10'.
k = 1.7

Simplifying
k = 1.7