6(k-1)-(3-3k)=8k

Solution for 6(k-1)-(3-3k)=8k equation:

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

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

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

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

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

Solving
-9 + 9k = 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
-9 + 9k + -8k = 8k + -8k

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

Combine like terms: 8k + -8k = 0
-9 + 1k = 0

Add '9' to each side of the equation.
-9 + 9 + 1k = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 1k = 0 + 9
1k = 0 + 9

Combine like terms: 0 + 9 = 9
1k = 9

Divide each side by '1'.
k = 9

Simplifying
k = 9