99=-7k-3(1-8k)

Solution for 99=-7k-3(1-8k) equation:

Simplifying
99 = -7k + -3(1 + -8k)
99 = -7k + (1 * -3 + -8k * -3)
99 = -7k + (-3 + 24k)

Reorder the terms:
99 = -3 + -7k + 24k

Combine like terms: -7k + 24k = 17k
99 = -3 + 17k

Solving
99 = -3 + 17k

Solving for variable 'k'.

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

Add '-17k' to each side of the equation.
99 + -17k = -3 + 17k + -17k

Combine like terms: 17k + -17k = 0
99 + -17k = -3 + 0
99 + -17k = -3

Add '-99' to each side of the equation.
99 + -99 + -17k = -3 + -99

Combine like terms: 99 + -99 = 0
0 + -17k = -3 + -99
-17k = -3 + -99

Combine like terms: -3 + -99 = -102
-17k = -102

Divide each side by '-17'.
k = 6

Simplifying
k = 6