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

Solution for 4(k-9)-(6-3k)=6k equation:

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

Reorder the terms:
4(-9 + k) + -1(6 + -3k) = 6k
(-9 * 4 + k * 4) + -1(6 + -3k) = 6k
(-36 + 4k) + -1(6 + -3k) = 6k
-36 + 4k + (6 * -1 + -3k * -1) = 6k
-36 + 4k + (-6 + 3k) = 6k

Reorder the terms:
-36 + -6 + 4k + 3k = 6k

Combine like terms: -36 + -6 = -42
-42 + 4k + 3k = 6k

Combine like terms: 4k + 3k = 7k
-42 + 7k = 6k

Solving
-42 + 7k = 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
-42 + 7k + -6k = 6k + -6k

Combine like terms: 7k + -6k = 1k
-42 + 1k = 6k + -6k

Combine like terms: 6k + -6k = 0
-42 + 1k = 0

Add '42' to each side of the equation.
-42 + 42 + 1k = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 1k = 0 + 42
1k = 0 + 42

Combine like terms: 0 + 42 = 42
1k = 42

Divide each side by '1'.
k = 42

Simplifying
k = 42