9(k-6)-(8k-6)=3

Solution for 9(k-6)-(8k-6)=3 equation:

Simplifying
9(k + -6) + -1(8k + -6) = 3

Reorder the terms:
9(-6 + k) + -1(8k + -6) = 3
(-6 * 9 + k * 9) + -1(8k + -6) = 3
(-54 + 9k) + -1(8k + -6) = 3

Reorder the terms:
-54 + 9k + -1(-6 + 8k) = 3
-54 + 9k + (-6 * -1 + 8k * -1) = 3
-54 + 9k + (6 + -8k) = 3

Reorder the terms:
-54 + 6 + 9k + -8k = 3

Combine like terms: -54 + 6 = -48
-48 + 9k + -8k = 3

Combine like terms: 9k + -8k = 1k
-48 + 1k = 3

Solving
-48 + 1k = 3

Solving for variable 'k'.

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

Add '48' to each side of the equation.
-48 + 48 + 1k = 3 + 48

Combine like terms: -48 + 48 = 0
0 + 1k = 3 + 48
1k = 3 + 48

Combine like terms: 3 + 48 = 51
1k = 51

Divide each side by '1'.
k = 51

Simplifying
k = 51