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

Solution for 9(k-1)=3(k+4) equation:

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

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

Reorder the terms:
-9 + 9k = 3(4 + k)
-9 + 9k = (4 * 3 + k * 3)
-9 + 9k = (12 + 3k)

Solving
-9 + 9k = 12 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
-9 + 9k + -3k = 12 + 3k + -3k

Combine like terms: 9k + -3k = 6k
-9 + 6k = 12 + 3k + -3k

Combine like terms: 3k + -3k = 0
-9 + 6k = 12 + 0
-9 + 6k = 12

Add '9' to each side of the equation.
-9 + 9 + 6k = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 6k = 12 + 9
6k = 12 + 9

Combine like terms: 12 + 9 = 21
6k = 21

Divide each side by '6'.
k = 3.5

Simplifying
k = 3.5