6(k-7)=9(k)

Solution for 6(k-7)=9(k) equation:

Simplifying
6(k + -7) = 9(k)

Reorder the terms:
6(-7 + k) = 9(k)
(-7 * 6 + k * 6) = 9(k)
(-42 + 6k) = 9(k)

Solving
-42 + 6k = 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
-42 + 6k + -9k = 9k + -9k

Combine like terms: 6k + -9k = -3k
-42 + -3k = 9k + -9k

Combine like terms: 9k + -9k = 0
-42 + -3k = 0

Add '42' to each side of the equation.
-42 + 42 + -3k = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -3k = 0 + 42
-3k = 0 + 42

Combine like terms: 0 + 42 = 42
-3k = 42

Divide each side by '-3'.
k = -14

Simplifying
k = -14