171=6(1-8k)-7k

Solution for 171=6(1-8k)-7k equation:

Simplifying
171 = 6(1 + -8k) + -7k
171 = (1 * 6 + -8k * 6) + -7k
171 = (6 + -48k) + -7k

Combine like terms: -48k + -7k = -55k
171 = 6 + -55k

Solving
171 = 6 + -55k

Solving for variable 'k'.

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

Add '55k' to each side of the equation.
171 + 55k = 6 + -55k + 55k

Combine like terms: -55k + 55k = 0
171 + 55k = 6 + 0
171 + 55k = 6

Add '-171' to each side of the equation.
171 + -171 + 55k = 6 + -171

Combine like terms: 171 + -171 = 0
0 + 55k = 6 + -171
55k = 6 + -171

Combine like terms: 6 + -171 = -165
55k = -165

Divide each side by '55'.
k = -3

Simplifying
k = -3