10[k-15]=[-50]

Solution for 10[k-15]=[-50] equation:

Simplifying
10[k + -15] = [-50]

Reorder the terms:
10[-15 + k] = [-50]
[-15 * 10 + k * 10] = [-50]
[-150 + 10k] = [-50]
-150 + 10k = -50

Solving
-150 + 10k = -50

Solving for variable 'k'.

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

Add '150' to each side of the equation.
-150 + 150 + 10k = -50 + 150

Combine like terms: -150 + 150 = 0
0 + 10k = -50 + 150
10k = -50 + 150

Combine like terms: -50 + 150 = 100
10k = 100

Divide each side by '10'.
k = 10

Simplifying
k = 10