-8k-3(k-2)=7(3+7k)-12

Solution for -8k-3(k-2)=7(3+7k)-12 equation:

Simplifying
-8k + -3(k + -2) = 7(3 + 7k) + -12

Reorder the terms:
-8k + -3(-2 + k) = 7(3 + 7k) + -12
-8k + (-2 * -3 + k * -3) = 7(3 + 7k) + -12
-8k + (6 + -3k) = 7(3 + 7k) + -12

Reorder the terms:
6 + -8k + -3k = 7(3 + 7k) + -12

Combine like terms: -8k + -3k = -11k
6 + -11k = 7(3 + 7k) + -12
6 + -11k = (3 * 7 + 7k * 7) + -12
6 + -11k = (21 + 49k) + -12

Reorder the terms:
6 + -11k = 21 + -12 + 49k

Combine like terms: 21 + -12 = 9
6 + -11k = 9 + 49k

Solving
6 + -11k = 9 + 49k

Solving for variable 'k'.

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

Add '-49k' to each side of the equation.
6 + -11k + -49k = 9 + 49k + -49k

Combine like terms: -11k + -49k = -60k
6 + -60k = 9 + 49k + -49k

Combine like terms: 49k + -49k = 0
6 + -60k = 9 + 0
6 + -60k = 9

Add '-6' to each side of the equation.
6 + -6 + -60k = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -60k = 9 + -6
-60k = 9 + -6

Combine like terms: 9 + -6 = 3
-60k = 3

Divide each side by '-60'.
k = -0.05

Simplifying
k = -0.05