-12(k-9)=7k-2(k-3)

Solution for -12(k-9)=7k-2(k-3) equation:

Simplifying
-12(k + -9) = 7k + -2(k + -3)

Reorder the terms:
-12(-9 + k) = 7k + -2(k + -3)
(-9 * -12 + k * -12) = 7k + -2(k + -3)
(108 + -12k) = 7k + -2(k + -3)

Reorder the terms:
108 + -12k = 7k + -2(-3 + k)
108 + -12k = 7k + (-3 * -2 + k * -2)
108 + -12k = 7k + (6 + -2k)

Reorder the terms:
108 + -12k = 6 + 7k + -2k

Combine like terms: 7k + -2k = 5k
108 + -12k = 6 + 5k

Solving
108 + -12k = 6 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
108 + -12k + -5k = 6 + 5k + -5k

Combine like terms: -12k + -5k = -17k
108 + -17k = 6 + 5k + -5k

Combine like terms: 5k + -5k = 0
108 + -17k = 6 + 0
108 + -17k = 6

Add '-108' to each side of the equation.
108 + -108 + -17k = 6 + -108

Combine like terms: 108 + -108 = 0
0 + -17k = 6 + -108
-17k = 6 + -108

Combine like terms: 6 + -108 = -102
-17k = -102

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

Simplifying
k = 6