9-(8k+6)=4[(7k-6)-(k-2)]

Solution for 9-(8k+6)=4[(7k-6)-(k-2)] equation:

Simplifying
9 + -1(8k + 6) = 4[(7k + -6) + -1(k + -2)]

Reorder the terms:
9 + -1(6 + 8k) = 4[(7k + -6) + -1(k + -2)]
9 + (6 * -1 + 8k * -1) = 4[(7k + -6) + -1(k + -2)]
9 + (-6 + -8k) = 4[(7k + -6) + -1(k + -2)]

Combine like terms: 9 + -6 = 3
3 + -8k = 4[(7k + -6) + -1(k + -2)]

Reorder the terms:
3 + -8k = 4[(-6 + 7k) + -1(k + -2)]

Remove parenthesis around (-6 + 7k)
3 + -8k = 4[-6 + 7k + -1(k + -2)]

Reorder the terms:
3 + -8k = 4[-6 + 7k + -1(-2 + k)]
3 + -8k = 4[-6 + 7k + (-2 * -1 + k * -1)]
3 + -8k = 4[-6 + 7k + (2 + -1k)]

Reorder the terms:
3 + -8k = 4[-6 + 2 + 7k + -1k]

Combine like terms: -6 + 2 = -4
3 + -8k = 4[-4 + 7k + -1k]

Combine like terms: 7k + -1k = 6k
3 + -8k = 4[-4 + 6k]
3 + -8k = [-4 * 4 + 6k * 4]
3 + -8k = [-16 + 24k]

Solving
3 + -8k = -16 + 24k

Solving for variable 'k'.

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

Add '-24k' to each side of the equation.
3 + -8k + -24k = -16 + 24k + -24k

Combine like terms: -8k + -24k = -32k
3 + -32k = -16 + 24k + -24k

Combine like terms: 24k + -24k = 0
3 + -32k = -16 + 0
3 + -32k = -16

Add '-3' to each side of the equation.
3 + -3 + -32k = -16 + -3

Combine like terms: 3 + -3 = 0
0 + -32k = -16 + -3
-32k = -16 + -3

Combine like terms: -16 + -3 = -19
-32k = -19

Divide each side by '-32'.
k = 0.59375

Simplifying
k = 0.59375